Moveset is the argument frequently used against her from what I've seen. Still, they can pull her artifacts, gadgets and reboot stuff. And, she knows martial arts, so they can incorporate that. I hope they would take classic Lara over reboot.
Surprisingly, I haven't seen much of Japan argument used against her. I guess her being owned by a Japanese company helps.
People keep talking about Sora and Geno whent it comes to Square Enix. I know Lara is still brought up, but not as frequently as those two.
This video sums up nicely.