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If he's sticking with a conventional offense, then Winston (assuming he can/does lose the bad decision/interception-heavy part of his game) is the far better option, and I don't really see why he would run it if Taysom is 'the guy'. If he's planning a mixed approach or read-option approach, then Taysom (or even a draft pick) may be the guy. As it stands, I feel like Winston has the edge over Taysom simply because of age and pedigree, but he has to prove it on the field - as does Taysom.
It'll be a fun battle to watch when the time comes, though.
The better QB is Winston as was Bridgewater last year. Taysom is a prospect at QB and was rewarded for his play as a skill position player but he's not the talent at the position that Winston is and why he was brought in as competition for what soon to be a Brees less QB room so Payton needs more talent at the position.
Say what you will about Winston but you cannot argue the arm talent and overall ability to play the position. On a mostly mediocre team with talent Winston has been an egnima because the talent and production is there he just may of needed a change in scenery.
Winston will thrive in this offense under the tutelage of Sean Payton.