If it's easier, the PM will get more of them AND those extras are unlikely to be the important ones. (If your hot water system blows, you pick up the phone; if you don't like the shade of green in the living room, you send a web message.) And if you're a good manager, you still have to respond to them all.
I'm raising this as a genuine fear for a customer reviewing the product. It would be interesting to have some user stats that overcome that fear - eg, "support requests rose by 10% BUT the time taken to respond to all requests actually went down by 20%, saving managers three hours each week, AND this feature was identified by many tenants in their improved satisfaction reports."