Lock camera on sims while in TAB mode

Hello everyone,

Sometimes I just need to follow my sims without having the UI, but in TAB mode there's no way to do that. So I don't know how to adress this idea, but I think, this could be a great idea for immersive experience. 1st person camera is great, but it's not like we're watching our sim do a jogging, hinking, snowboarding, swimming, ride a horse, etc...