Disney's Live Action Snow White (perhaps without the seven dwarfs)

Well, that would be an entirely different issue than what Mr. Dinklage is complaining about.

I did have concerns about the title "Snow White"

Both stories involve discrimination, the idea that a group of people is inferior to another, bad traits are attributed to them; and both stories present characters who belong to the group of people being discriminated as being happy and accepting their inferior roles.. so no, not entirely different, on the contrary, lots of similarities.