It will have no impact on them as long as they have Dame there by training camp... it might mean that their bench is a little weaker and that will be their fault but I don't think Jimmy or anybody (free agents or any players in the league) cares how these GMs and agents get them what they want as long as they get it.
I think that's something that people who are mad at Dame don't get, these players cannot afford to have the fans factor into their decisions. It's them the players who have a short time to make hundreds of millions of dollars against big multibillion dollar companies. These players have to be willing to go scorched earth because they never have the advantage just due to them being a much smaller business entity with a vastly shorter earning window than the teams.
Also Dame isn't hurting his brand right now, people that think that are being naive. Damian Lillard, Dame DOLLA and Dame Time are not local brands they are international brands and I just don't see fans around the league killing Dame over this, some think that the one team thing is extreme but they aren't killing him over wanting out and burning the team in the process. Most fans are saying that it's been overdue.
Going back to the GMs, they won't be judged for when they get things done this offseason by the players or the fans but what they get done before the season begins or maybe even just by the time it impacts their chances to win. For us it will be judged on our perceived chance to win in the future but for Miami or whoever Dame ends up with it will be a judgement executed pretty immediately, they'll have to start winning more immediately, do better in the playoffs this season and for the next few.