Eh no wrinkles for me. Plus I'd have the wisdom of however many years of experience my immortality had gained me at a given point, but still be youthful in appearance/vitality. You're just being delta
if you think about it parts of you in a way would die, mostly memories, because our minds can only hold a limited amount of data so after awhile you will forget stuff and thus a type of oblivion
that person that lived 1000 years ago is now dead
Though I also think it's a mistake to reduce a person is the sum of their memories.
ya i feel ya there is more to death than being oblivious of ones on existence but your "ten year old self" so to speak will never be immortal unless you can as you already said get pass what i said
wow what a can of worms