I can see combat demanding a certain amount of mental focus, for sure.They definitely should be but I've found with the P2e group I game with, combat (we play on Foundry) becomes a video-game slog where everyone just gets fairly silent and stares at their map screens and moves pieces on a board to 'win' the situation using positioning and manuevers. I really try to role-play but none of the 6 other players say much of anything and it's clear my behavior isn't the social norm -other players proceed to click-away on the VTT.
I've played dozens of other rpg systems (though not on VTT) and I've never quite seen the focus on tactical play at the cost of role-play.
Though, who knows, maybe P2e played face to face is like a critical role episode. No idea, I've never had that opportunity.
But PF2E also has Exploration and Downtime modes of play...between the 3, there's plenty of roleplay. Not Shakespeare-on-a-stage levels, but "playing one's character in the world"? Sure.