The aspects that drive the update to a phone is the eligible phone model, serial and build number and the region your in @scotty82447 not the cost of the phone.
The update is sent out in waves as not to overload Samsung Server's.
Best practice is to keep checking in your phone's software update section and or the Samsung Smartswitch option.
Daily Driver > Samsung Galaxy s²² Ultra 256Gb in Phantom Black.
The advice I offer is my own and does not represent Samsung’s position.
I'm here to help. " This is the way. "