I'm not really sure which Battlefield you're referring to as "tactical team-based shooter" but it was never any Rainbow Six (3), Swat 3, ARMA or Operation Flashpoint, games I'd consider actual tactical games in the 2000s. Battlefield has always been a bit arcade-y, not not as much as Call of Duty.
Back then to me a "tactical" Battlefield would have been either Battlefield 2(Especially Project Reality) or 2042. Maybe if you only compare it to modern games you could say 1942 was tactical.
Referring to BF1942, I mean tactical in the sense that you had to cooperate on tactics with your team, for example you might spend 10 minutes traversing a hill to flank the enemy. In the modern games, flanking is redundant as you respawn just a few meters from wherever you died.
A team fan of that game is making a game named "Ready or Not", I didn't played it yet but it has stupid high fan reviews... I saw it reach 98% of approval on Steam or something like that.
