I'm almost 110 hours in now and haven't encountered it again, so you should be safe!
I've been steadily making my way through the manageable side content before seeing out the story. The final side quest was a bit of a pain - I'm not sure how I would have beaten the 3D Brawler fights without reading the pausing tip - but that's ticked off as well now. I was planning to finish off the protorelic quest, but I didn't know it had a recommended level of 65 until I made it there! Seeing Cloud is only at 49, I guess I'll be leaving that until I've finished the story.
Good to know, thanks. I'm only in chapter 7, but so far my reactions to minigames have either been 'Didn't like that, don't want to do it again', or 'that was neat for 5 minutes, but probably not going to touch this again unless they force me to'. The exception being Queen's Blood, but that feels like its own thing.
Then again, at the current pace, I expect the game has another 100 minigames (at least) to throw at me before credits roll, so wouldn't be surprised if some of them click with me more lol.