The two aren't really related. Richard was the last of the Plantagenets. The Tudors' ancestral connection to the Lancastrians was tenuous at best.
Richard was not the last Plantagenet. He was survived by many, including his nephew (George’s son), his sister and others. But Henry 7 and Henry 8 eventually killed all of them. Margaret, his sister, survived because she was in Burgundy.