Eight percent over four years is a real decline, and you are right to read the pricing skeptically. When a seller prices something as if a problem resolved itself, that gap usually means the burden of proof is on them to show you what changed.
Here is what that enrollment number actually means for a 12-bed property. If 8 percent fewer students are coming through the area each year, that translates directly into more beds competing for a shrinking pool of renters. Occupancy risk goes up, and when occupancy drops, the income that justified the purchase price goes down with it. A seller pricing this as if enrollment stabilized is essentially asking you to pay for a recovery that has not happened yet.
A few things worth confirming before you go further. First, check the university's own institutional research page, since most publish enrollment data by semester going back years. Second, look at whether the decline is in full-time undergraduate students specifically, because those are your renters, and the overall headcount can include graduate and online students who do not rent nearby beds. Third, ask the seller directly what evidence they have that enrollment has stabilized. If they cannot point to a source, that tells you something.
The strategy guide for student housing on Rena is direct about this: campus selection is the variable that determines whether the strategy works, and the guide flags mid-size and less-selective institutions as the category most exposed to the demographic enrollment shifts ahead. This property sits in exactly that risk band.
I am not in a position to say whether this is a pass or a negotiation, since that depends on the price, your financing, and what the actual occupancy has been for the last three lease cycles.
What does the current occupancy look like, and has the seller shared lease history?