I have not experienced it, but it definitely seems like a danger, especially if he doesn't have any other feeder options then he has no choice but to shove his head in there and eat if he is starving. But it shouldn't lead to that.
I offer an open gravity feeder option for my rooster- the hens get a gravity feeder with the tube inserts which he apparently cannot access.
Even the size of the wattles can prevent them from eating from narrow feeders, as there is a brahma rooster at the petting farm i work at and his comb is small but the combo of his huge wattles and large head prevent him from eating, so I gave him his own bucket of feed.
This is what I have for my roo:
I set it on a cinder block in their run but I have also seen people hang it on a shepherd's hook.