If you compared side by side P67 enlargements handheld vs solid tripod, you'd probably see a significant difference in quality unless the shutter speed was high, and the focal length of the lens short.
Of course, a flimsy tripod or head won't help much, especially when big teles are involved. You need something solid. In an emergency, I've sometimes rested the camera on a hat or pillow (or hypothetically a bean bag) atop a car roof or fence post, rifle-style. That can make quite a difference too.