Apex Legends if you leave in-game should there be a punishment?

In ranked, yes. In pubs, no. 

If someone leaves in the middle of a ranked match then they get penalised by way of not being able to play for 10 minutes. I agree that people leaving when they get knocked is poor form and they should introduce some form of penalty to non ranked matches as it is extremely  annoying when a player just quits! It’s even worse when they quit before the game has even started!

Rank play is fine to get an abandoment penalty because across the board they cant play until the penalty time expires. 

I feel that pubs should have a lighter penalty for leavers before they're grayed out. Along the lines of No XP toward your battle pass and player level.

More and more people leave pub matches and stats still count it's very frustrating in a middle of a battle your team leaves and you eliminate the whole squad yourself.

It's a free to play game so there is always people coming and going from the game. 

Just my opinion though.