They can bring u to the lounge. Or a restaurant . Or wherever you like. They also stop for bathroom breaks. The airport wheelchair is usually not allowed in lounges but often the staff let us bring it in

Sometimes we are asked to leave it in the hallway outside. When we leave, one of our family members takes over pushing the wheelchair to the gate. I am sure they could get someone to come but we have no issues doing it ourselves.
Using the airport wheelchair is way less hassle than bringing your own but bringing your own means not having to rent at the other end. Pro tip - if u have assigned seating, try to board last instead of first. Then your wheelchair will be amongst the first devices unloaded.