They’re quite different, but I think the more you try to adhere to classic Tomb Raider, the more visceral distaste you’ll get from people about how poorly those old games controlled. The puzzles in that reboot trilogy, though they often could have benefited from multiple additional steps to make them more interesting, were better than anything in Uncharted, since Uncharted loved to just give you the answer out of a magic notebook rather than let you solve things yourself. The second and third games in that trilogy were better about this than the 2013 game. The Legends era of Tomb Raider didn’t have much in the way of high highs, but there were definitely very low lows, and you end up with RPG skill trees in the reboot trilogy so that you can both A) decide how much optional content you want to do but also B) have a tangible incentive to do it, unlike what SkillUp pointed out in Wolverine’s progression elements in how those systems can be thoughtless.

As for chasing trends, they did a bit, but it became a real ouroboros when Uncharted 4 added a mechanic or two from the Tomb Raider reboot trilogy into its kit, and at least if TR was going to rip off some stuff from Uncharted, the combat in those three games was the best across either franchise.