Is there an advantage to shrink wrapping over a properly installed poly tarp? At least the tarp would allow some air circulation.
Properly shrink wrapped boats allow for air circulation.
Besides cost, the big difference is that with shrink wrapping and a custom cover there is less opportunity for wind to get in to the cover and cause it to blow off.
Another advantage is that with a door installed it is easy to access the boat during the off season to take care of maintenance and improvements. It also makes work in the spring less weather dependent.
Polycovers are not as strong as shrink wrap or good quality canvass.
When installed polycovers tend to have a lot of pressure on the grommets which fail. Once one fails it will begin to cascade, leaving the tarp flapping in the breeze.
The big advantage to a custom cover is the frame. It allows plenty of room and air circulation under the tarp and the tarp is well supported to shed rain and snow.
If you do use a poly tarp, don't rely on the grommets to keep it attached to the boat. Lines tied to the grommets can keep the tarp close to the hull, but do a poor job of keeping it from flapping in the breeze. Run lines over the top of the tarp and under the hull to reduce the wear and tear on the tarp from wind and reduce the pressure on the grommets.
Shrink wrap is probably more UV resistant than most poly tarps.