Speaking after his side had snatched a late point at The Den, Holloway responded to claims from Dougie Freedman in his post-match press conference that Wanderers had controlled all but the last 15 minutes of the game.
“I'm deadly serious when I say you would be bored senseless watching that kind of performance from them (Bolton),” he said.
“If that's how you set out to play when people pay a lot of money to watch I'd be bored senseless.”
Millwall had 22 shots on goal and enjoyed more than 60 per cent of possession but were still only able to secure a point when Martyn Woolford slotted home from close range in the 82nd minute.
Lukas Jutkiewicz had earlier given Wanderers the lead with a deft header but then missed a penalty five minutes before the home side equalised.
Holloway – who took charge of Crystal Palace when Freedman left in October 2012 for the Reebok - elaborated on his point to the written press later in the evening.
“If that's what you think controlling a game is, I'm glad I'm sitting in this seat and not having a drink with Dougie. That isn't how you control a game.
“That's the beautiful thing about football. I suggest he reads some stats and sees how many chances he created and whether you'd be bored senseless watching it.
“You pay a lot of money for a ticket and you want to see your team have some shots at goal. If that's controlling a game, I would be bored senseless.”