SSG or whatever name you go by......
How many 800,000 pound limiting runway take-offs have you done where 8000 feet of runway remaining is available. I'll bet you would have no doubt as to what to do at, or past, V1 in heavy weight widebody aircraft with a problem. Stopping is not an good idea, trust me. Yes, a Citation on a typical 8000 foot runway has a oodles of space and stopping is a possible, if uncalculated, outcome. But put it on 3500 feet, cliff at the end and a summer day and I doubt you would advocate stopping past V1 either.
GIVE IT UP!