they are approximately the same thing.
if a DVC member has some "virgin" points for rent, they can rent them out by either:
1) making a reservation for someone, and renting out that reservation. (this is what we traditionally think of as "renting")
2) or if the interested renter is also a DVC member, they could transfer points directly into the other member's account.
transferring points is fairly complex.
if you are curious, you can take a look at the link in my sig for a list of rules regarding transferring points.
it can take a while to figure it all out though! and many Member Services' CMs are not necessarily trained in all the rules, especially because IMO it's one of the most complex things about DVC.