Hird's comments came after Ablett revealed the extent of the falling out he had with his former Geelong coach.
But the Bombers coach said Thompson was unlikely to even notice Ablett's comments, let alone be concerned by them.
"I'll doubt he's even read it, or he will read it, or he'll care too much," Hird said on SEN radio on Friday morning.
"He and Gary had a fantastic time together, and won two premierships together. I would think, as he said, 'I've moved on. I'm no longer the coach at the Geelong Football Club, and I'm now at Essendon and concentrating on Essendon getting right'."
Ablett told the Herald Sun he and Thompson barely spoke after an argument about the Brownlow medalist's future in April.
Speculation had been rife that Ablett was seriously considering an offer from Gold Coast and Thompson confronted the star midfielder about his future, a situation that Ablett said made him uncomfortable.
"I just felt that he's the coach, I'm the player. Contracts shouldn't be his role. But we had a pretty big argument there in his office, he walked out, I walked out, and he hasn't really spoken to me since, to be honest," Ablett said.
Thompson made several subtle public digs at Ablett throughout the year, the latest of which came on Tuesday when he spoke to the media for the first time since he was appointed senior assistant coach of Essendon.
Thompson said his departure from Geelong was different to Ablett's because he was earning less money, unlike Ablett who had accepted a multi-million dollar deal with Gold Coast.
"I didn't really want to talk about it, but he keeps mentioning my situation, so I want to set the record straight," Ablett said.
"I find it a bit hypocritical that he can say I've done the wrong thing by [Geelong]. I made a decision at the end of my contract for my own reasons; he made a decision with a year left on his contract for his own reasons, but he's still potting me instead of brushing it off."
Ablett still had a stellar season, finishing second in the Brownlow Medal, but he admits the communications breakdown with Thompson did have an effect.
"It's hard when your senior coach is not talking to you about game plans and that sort of thing, but I dealt with the three other coaches - the midfield, forward and defensive coaches," he said.
"Rather than just trying to be a coach, he was a very controlling person, trying to run the medical department, the contract negotiations, and if it wasn't his way, it was nobody's way," Ablett said of Thompson.
