The Gold Coast football club has distanced itself from the poster which appeared in the Gold Coast Bulletin on Monday, but that has done little to placate the Cats' coach.
"It's pretty cheeky really. It just puts more pressure on Gary. It's a little bit outside the rules and the ethical boundaries of the industry we're in", Thompson said on Tuesday.
"I don't think Gary wants to be posted up as a Gold Coast player just yet."
Thompson had not spoken to his star onballer shortly before Tuesday's training session but he vowed the latest chapter in the ongoing saga surrounding Ablett's playing future would not detract from the club's preparations for the Easter Monday clash against Hawthorn.
As for the prospect of legal action, Thompson deferred to CEO Brian Cook.
"I'm the footy coach. I don't know much about what we're doing outside of playing," he said.
"[But] I don't think Gold Coast will be as cheeky as that again."
Having got the season off to winning start with a hard-fought win against Essendon, Thompson wasn't expecting the pressure to ease up next week.
"They're all very hard games early in the season and the Hawks won't be easy. It should be a very exciting game," he said.
"It should be a great game. We've got a great history against each other so it should be a big crowd. Easter Monday at the MCG - it doesn't get much better."
Darren Milburn (hamstring) and Andrew Mackie (calf) were the only injury concerns to arise out of the season opener. Thompson reported Mackie had only suffered a cork, but he was still awaiting results of scans in Milburn's case.
In better news for the Cats, Max Rooke is set to play in the VFL this weekend after overcoming knee tendonitis and elevated rookie James Podsiadly pushed his case for selection with a swag of goals in a VFL practice match.
"He kicked 6.5 so he'd have to be a chance to play. We put him on the senior list to play him and at some stage we'll have to do it," Thompson said.
"It's a funny situation because we actually got him to play in our VFL side based on appointing him as a fitness coach [but] when we had a really good, close look at him we thought 'this guy could probably play AFL footy'.
"Age really is no barrier, we decided to do it and we're looking forward to seeing the results of it.
"Harry Taylor and Mathew Stokes were both mature-age players from other competitions and it just shows that the other competitions are doing things right. I think in the future we'll recruit a few more of those types."