my thought was legally you are allowed to as long as you had 3 take offs and 3 landings in the previous 3 months on that type so that should show that you are competent and current.
another one was if you have had a check ride with one company to rent their plane, do u then have to have another check ride if you go to another flying club?
I can understand where you are coming from with your comment though, however if someone has a lot of experience it is a waste of money for that person and puts them off renting. This is something I have found from speaking with numerous people.