Most wheel/tire places are fine with bringing just the wheels/tires to them and swap out. I'm too paranoid and would never have allowed a shop to jack the car up like that, especially with no jack stands
+1
I raced local circle track back in the 90's and the track promoter/owner STRESSED that if he ever seen a race car jacked up with no stands, the driver, car and crew were banned for 4 straight races, no exceptions.
But seems that a lot of these tire centers are using only jacks like the photo above. But I'm sure if the car owner says he wants stands, then the tire center should respect the owners wishes.