No not at all.
Force counter attacks means that you must defend deep (eg defensive mentality, many blue arrwos, packed defense) and you must have a ST more lika a poacher to receive long balls and crosses. If you don't play like this (eg if you use ball possession game, short passes, many attacking players, etc) you should not seek for counter attacks.

Offside trap requires very FAST defenders (great pace, acceleration & positioning--> maybe aggression as well I guess) and a few number of them. (great formations for offside trap tactics use 3 defenders or 4, with 2 red arrowed fullbacks). It also requires an attacking mindset and a kinda pressing style. You cant use offside trap with 5 heavy defenders and when your opponents has 1 ST and no AMs. It won't work.

I personally sometimes use offside trap in my main formation (3-1-4-1-1) and it works just fine (especially in cases where opponent attacks with 6-7 players, eg 3-4-3, 4-3-3st, 4-2-3-1, etc). I can say it works ok. But, I have fast DCs. Offside trap means that your defending line is high enough. Therefore, there's always a risk.

I use counterattack whenever I play defensively and I have less possession, combined with long balls and sometimes own half pressing style. (eg when I go 3-2DML/R-4-1). Good formations for counterattack have a strong ST as a target man/poacher and maybe a trequartista for support.