For the voters, it only matters on who he picks as Vice President.
A vice president with a lot of experience is usually seen as a good thing for the ticket, and can serve to balance out any inexperience or naivete on the president.
...or draw to attention your own youth and inexperience (see Bentsen, L.)
Dukakis was leading the polls against the wimpy GHWB. It was only after huge negative ad spending that Bush pulled it out. They were both bad candidates, but it wasn't Bentsen's fault.
Yeah, the Willie Horton ads and Dukakis' gaffe in the debate ("if Kitty Dukakis was raped and murdered, would you support the death penalty for the perpetrator?" or however it was worded) did him in. Bentsen had nothing to do with the loss, and totally annihilated Quayle in the veep debate.