@CAPTA1N-117 I would have to respectfully disagree with a few of your points and I'll explain why so it may help give you another perspective to look at.
"I know some here will say otherwise to this idea, but let’s face it: stats only bring the most toxic people (Call of Duty squeakers), and troll you round if you’re stars are better."
Trolls unfortunately are inevitable and while yes some players may try and specifically target those at the top of the score board, I would say majority just troll whoever happens to be in their line of site at the time. For example, some of the highest K/D players in BF3 & BF4 were pilots, yet the most popular way people trolled others was to cover a jeep with C4 and drive into tanks, score and stats had nothing to do with it. Another example in BFV would be lately people have been stealing the landing craft in Pacific storm and driving it to the US carriers to Flieger the planes taking off, again stats/score wouldn't even be a factor for doing it...they do it simply to annoy people.
"i think stats should be an option where you can play a game mode, either with others (but can gave your stats not record for casual gameplay), or a separate game mode where you can play casually like a good 90% of us play."
This sounds like you're opting for a ranked gameplay system that only places you in matches with people of similar score/rank. A system like this would require a stat method of recording so as to create these ranked matches, otherwise it wouldn't have any change to what we're currently experiencing by entering a game with different caliber of player and skill sets. Another thing to consider is people who troll are at all levels of rank so having ranked games wont eliminate them and as many trolls don't care about their stats, they will likely end up in lower ranked games due to having bad stats and so you've now just unloaded every new player with a plethora of trolls to deal with while the high tier ranked players will have very few.
"Stats are also n irrelevant thing, because any seasoned gamer will know at stats don’t mean anything to player skill. You can kill a 100 noobs, and have 100K/Dr, and then lose everything because of a better player."
Stats have a number of valid reasons and many seasoned players would disagree that they are irrelevant. I myself am currently in the number 1 spot for pilots on Xbox worldwide and I personally know the number 1 tanker and number 1 repairer. I also know everyone in the top 15 give or take and we use the scoreboard to compete against each other but you'll find that many people over the leaderboards are using their stats to compete with one another in a friendly manner. While some highly skilled players have low stats due to only commenting against each other in private matches and so have very few kills per round, these are the extreme minority of players, just as a minority of players don't care about stats at all and play many games just for fun win or lose. However I would be confident saying the majority of the player base (the casual gamers you talk about) would absolutely use stats to keep track of their progress against others on their platform and region.
"if at worst; a weekly K/Dr, and W/Lr stats.Where each week your stats reset, giving you a truly unique way of judging if you’re improving or need to improve in areas. That would be a truly brilliant way to do something new to stats giving them an actual use...unlike what it’s being for like the past 10 years now where it’s fully irrelevant."
What you've presented here does already exist to some degree. By looking at your profile on https://battlefieldtracker.com/ you can have an overview of the last 6 days of your PVP and Score per min statistics. This can show if you're improving, having a bad week, having a good week, etc. The overall stats from the beginning of your game play career for that game is relevant as after sometime you will begin to plateau with minor increases/decreases in score as you will have a much larger sample size to measure against and so your 100 kills with 0 deaths won't effect your score all that much in comparison to the much larger K/D score you have accumulated. This will also help distinguish out of the main player base who are the more skilled players as their score wont be from 1 or 2 games which they may have gotten lucky in.
For example, I currently have a K/D of 7.79 (58,620 kills, 7,524 deaths) now my score of 7.79 would actually not be a proper representation of my air combat ability as my average score for the ground is about 1.20 (6,406 kills in total) and tanking is about 6.20 (4,971) if you were to remove my deaths from playing infantry/tanker (around 6,000 deaths) my K/D based solely on my Pilot score of 47,472 kills and roughly 1,524 deaths would equal a K/D of 31.14 (which is usually my K/D in each game). Without the leaderboard and statistics I wouldn't be able to work that out and I know many wont go to that sort of level but when I'm competing with other high tier players, it's important to know the competition making it very relevant.
I know this was slightly dragged out longer than I had liked, I'm hoping that perhaps I have help bring you a new perspective of how I believe (and many people I know believe) the importance of permanent statistics, how they can help show you where you need improvement, where you fit in the player skill spectrum and also who your main competition is 🙂