If the tires take longer to reach their highest potential, this can eliminate premature pitting altogether, forcing drivers to be more conservative about pit stops. Because i think it is unrealistic to start using tires that don't need preheating, to expect them to perform like tires that are heated before being fitted to the vehicle. If you start with a cold tire, you cannot have the grip given by the pre heated tire. Updates need to be done from the right perspective.
After a while we will get used to it though, so heat it before or just during, it won't be that much of a trouble since everyone would have the equal situation but that doesn't mean that we would have everyone accepting it quickly, it will definitely be a bit different for a while before we get used to it.
This would actually affect a lot of fast drivers who are looking to be more aggressive after their tires have heated sufficiently. It changes not only how often do they need to do pit stops but also how they drive after the said pit stop. Heated tires, as we know, provides more grip in the track compared to those that aren't, and if it's going to be removed in 2024, a lot of complains will arise, but I'm pretty sure the teams will still go back to the drawing board pretty much to overcome this new rule.