Hate to tell you...
Prunus triloba actually is grown as both a bush and a tree. It suckers because the tree's roots want to turn it back into a shrub.
Chokecherry, P. virginiana, is notorious for suckering. The purple following green foliage is pretty, but the suckers are a PITA.
The amur maple is another one.
If the crab's rootstock (the huge majority of them are grafted) can go nuts. My sargentii crab has billions and billions (as per Carl Sagan) of suckers (not stars). I rip as many as I can and prune the rest, two or three times annually.
Afraid youse gots to live wit it (or dig 'em out).
hortster

-Avoid major pruning when possible. Prune gradually, if needed.
-Prune in late winter or mid summer, not in spring or fall.
-Pull suckers off when small instead of letting them get larger and instead of cutting them off.
-Realize that you may not be able to completely avoid suckering.