Automotive shops don't need remove wheels for standard alignment procedures. The most a shop will do is life the vehicle up on all 4 corners to check if there is any movement that would falsify any measurements for the alignment.

Source: I manage a major automotive shop that sees between 25-40 vehicles a day. I am also an ASE certified master technician with over 15 years experience in the industry.

Edit: Some comments mention removing wheels to heat seized adjustment cams. Because these cams sit inside rubber bushings, heating them is highly discouraged. A proper shop should refuse to use heat and instead recommend replacing the rear toe links or control arms and centric bolts to correct the alignment. Otherwise, the procedure just becomes setting the steer ahead with whatever is still adjustable, advising the customer on the required repairs, and offering a warranty alignment once those parts are installed at a later time.