I've seen quite a few try this approach and it never goes well.

Maybe should be an override whereby the 'Head Coach' will sign a punter and a kicker if none in the game day 46 and cut a player if necessary. Get them in on a one year basic contract with no bonus and autoplace them at #1 on depth chart for FG, Kickoffs and Punts.

It's generally a rookie error, obviously if a punter/kicker is deactivated, the initial override, would be to put him back in an deactivate another player (maybe lowest rated, with three or more players listed at a particular spot.

Make AI Teams Carry a Punter = https://lol.myfootballnow.com/community/5/5754?page=1#34858
Make Al Teams carry a Kicker = https://lol.myfootballnow.com/community/5/5777?page=1#34839

It's not just AI coaches going in with no Punter or kicker or both.

I can see protecting the AI from doing this. If an owner does it, it's a form of tanking.and they get no sympathy.

#PuntersMatter

Edit: actually, auto-replacing a quality player with a punter or kicker picked by the AI isn't such a bad idea ...

second edit: If trade values were fixed, these positions wouldn't be quite so undervalued.