Not if you value your mounts legs and soundness.
I am not in a "show" barn anymore but my friends are and they all rub and wrap after a hard schooling, jumping session or especially a show on unfamiliar terrain and footing.
Some other friends barrel race and rope... their horses are rubbed and wrapped after a competition faithfully.
Certainly not something she sees others doing she has told me, but it is what she is comfortable doing for the horses and has had no issues of sore or lame...
Sometimes I wonder if with the rush, rush, rush world we live in if short-cuts are just done and the horse isn't kept around long enough to see the damage done from not taking care of the animal properly for what job it is being asked to do.
I've also seen "new" riders who have never been taught this for whatever the reason...maybe the trainer also is un-knowledgeable... IDK.
If you are comfortable doing it and know how to rub & wrap properly, I look at it as... who cares what others do or think... my horse, my responsibility for this animals comfort and well-being falls upon my shoulders!!
If this isn't your horse, you need to check with the owner as to their wishes as they foot the bills not you but for a lesson/riding fee.