I have two different pairs of all-season tires: one pair that has been driven for about 20,000 miles, another pair from a different manufacturer that is new and that has been driven for maybe 1,000 miles. The older tires are noticeably more worn than the newer tires.
When my car shop replaced the winter tires by the all-season tires this week, I asked them to mount the newer pair at the rear of the car. The person who took the order said that I shouldn’t worry about it because they would measure the tires and rotate them accordingly. When I got the car, the new and old tires were installed diagonally across from each other: front left old, front right new, rear left new, rear right old.
It would be nice to have matching tires on the same axle but a 19,000 mile difference in wear is about 2/32" to 3/32", not enough to lose sleep over. The difference in diameter between the two brands may be greater, you can look up that information.
I doubt you could notice the difference when push hard on a race track. The car would probably perform better as is with the tires mix because the better performing tires are not on one axle.
It’s not so much the difference in diameter, as the different tread pattern, that will cause handling problems. And, the difference in diameter can cause premature wear in the differentials.
I had blizzaks on my car and 1 developed a sidewall leak. So I put the all season tire on since it was close to end of winter. Blizzaks were 1/2 worn anyways. Than a month or so later I took in the 3 remaining a/s tires and told service manager to swap the rest. The tire monkey came in office to get order and manager told him to swap 3 tires and figure out which 3 on his own. Pretty funny look on kids face.
…Or you could wait until your next tire rotation to have it corrected, you have to consider if it worth your time to get the tires where you want them.