No, you are not correct - Wilson offered Gogolak a then-reasonable raise to $13K which Gogolak refused, asking for $20K and taking a 10% pay cut to allow him to play out his option and force Wilson to match any other offers - Wellington Mara violated the 'gentleman's agreement' not to raid the other league's rosters and offered Gogolak $32K - which was more than the $25K Wilson paid for the bills franchise 5 years earlier! Mara was a wealthy guy, needed to reverse his team's losing fortunes at any cost, desperately needed a kicker, and the NY Giants were the richest franchise in the largest market - Mara simply could not be out-bid.
It was actually Mara's violation of that 'no bidding-war' agreement that started the real, all-out, 'gloves-off' bidding war that lead to Joe Namath signing with the AFL NY Jets - and ultimately to merger talks between the 2 leagues, in which Ralph Wilson played a huge role.