It does somewhat depend on the subject and uni, too. Five years ago my DS1 was predicted A A A and got the standard offer of AAA from 4/5 of his choices and an 3xA offer from the other despite his predictions not meeting that. He firmed the aspirational uni as the others were all the same offer and did achieve 3xA much to our delight. This was for maths where lots of unis seem to give the standard offer to everyone who might meet it.
Last year DS3 was also predicted A A A but we both felt that was an ambitious prediction and A A B was more likely so looked at unis with 3x A or equivalent offers. With last year’s debacle he ended up with A A A and got his first choice.
This year that has changed it appears as so many students did better than they would have in a normal year and universities were stung by having to take more students than planned. From December onwards this year they seem to have been much more cautious in what they offered. I think that might carry on to this year as no one can really predict if normal A levels will happen again.
If you are looking at very competitive unis like Oxbridge, Imperial, Durham, LSE, etc they only offer say AAA to those predicted 3xA* (massive oversimplification, as Oxbridge interviews/entrance examines but you get the gist) to ensure they get those students they want.
If you are looking at many other RG unis you’ll generally get an offer if you meet entry requirements in your predictions in maths at least, but getting an extra A* predicted would be useful. IMO.