It depends on where you live; properly speaking, the proportion of your rent that is caused either by regulatory capture or by land ownership is the "rent-seeking" kind of rent, the rest is "hiring a house" kind of rent.
In municipalities with highly restricted supply due to regulation, as well as expensive land due to lack of a land value tax or property tax, most of your rent will be the "rent-seeking" kind of rent. Apartments usually are built on very expensive land and are still affected by restricted supply caused by regulatory capture, so they're not different in this instance.
In municipalities with highly restricted supply due to regulation, as well as expensive land due to lack of a land value tax or property tax, most of your rent will be the "rent-seeking" kind of rent. Apartments usually are built on very expensive land and are still affected by restricted supply caused by regulatory capture, so they're not different in this instance.