I’m in sort of the opposite boat. I’ve never played tomb raider lol (but it’s on my list someday once I remember to pick it up on Steam). I will admit I’m biased (I grew up playing these games so that bias may make me blind), but wouldn’t say it really focuses on being Macho Men unless you’re referring to the scenes that are trying to be cool (like the famous train one).
There’s a lot of Gunplay involved and the later games (or at least the 4th one. It’s been ages since I played 2 & 3) have a lot of exploring like you want involved too.