To be more precisly with all known issues between bots and other mods (including AMX)- there is the third issue I can't solve anyhow, but it's the lowest priority and I really don't care about it. The problem is with stop chatting separetly bot. I mean the "gag/ungag" functions. If someone is talking too much or is using bad words, admin may use gag function to stop chatting the player, but this function doesn't affect bots. You are able to switch off bot chatting at all (all bots will not be chatting), but You can't stop chatting one selected bot. I don't think it's a big issue which might be some obstacle to use together bots and mods using this function , but I described it only to point one more issue I know.
But there might be a bug in FUN module of AMX (corresponding to chatting - it confuses FUN module when there are some bots on the server and some swear filters are used - I'm just waiting for report about it

).