EA is sh#t! and their ANTI-CHEAT is banning innocent people and they don't give care at all!
I got the same basic reply from them as you did, it 100% is an automated response without a doubt.
This is what happen to me.
I was using a cheat for a different game "not as bad as it sounds" it was a single-player game that I was goofing off on which is none of EA's business anyway. I had been drinking and forgot I had used the cheat so it was still injected "I didn't restart my PC" 2 days later I log into APEX and the second I jump out, my screen flashes and Im met with the screen saying I am banned.
I even offered to send them the cheat I was using/or send them screenshots.
The issue is this. The ANTI-CHEAT is to find anything that's blacklisted or anything trying to hide in your RAM 'etc" and it auto bans you if it finds it. Even if you were say cheating on CSGO left that cheat open by mistake and loaded APEX you'd get banned from APEX.
This is 100% bullsh#t and should be illegal, to be honest, it's like anything in this world rotten @ss people screw it up for everyone so they have to tighten up which in the end always screws the law-abiding citizens.
If any human actually looked at my log records saw how much I played "which is not much" and looked at my stats for 5 seconds they could clearly see I was not a cheater in like 200 games in the 2 years I've had my account I've won like 5 I had maybe 30-40 kills tops... Yup, 100% a cheater I just play it every once in a while on PS4 now with my buddy since we can't play on PC because EA wants to be douchebags.