I really don't know that Bon Jovi and Rogers would have moved the team.
I suppose he could have, but even years after (when there was no benefit for him to continue lying) he continuously said the plan was to keep the team in Buffalo and he was planning on buying a house here, etc.
Perhaps he is just a pathological liar who continues to lie when there is nothing left for him to gain, but evidence points toward the "Bon Jovi will move the team" rumors to be an orchestrated public relations campaign by another bidder.
There was a report that one of the other bidders hired Michael Caputo, a Buffalo public relations consultant, and told him to start the rumor that Bon Jovi would move the team. Caputo was apparently the one who started the initial email list of over 15,000 names to push back on Bon Jovi.