There has been a time where I started over in Pokémon Pearl and named my rival Wally. I named the DPPt rival Wally because of how your second rival in R/S/E is Wally and his name just rang a bell when it came to naming my rival in Pearl.
It isn't too creative of a name, but it is a name that brings in memory for R/S/E [nothing too special there though], and I like the name more than some of the other names they had in mind for the character in the little box where you could choose a name from at the beginning of the game.