Which, collectively, are often referred to as a "can."
I agree. IMO a recessed can is the entire setup, frame and trim.
To answer your question. Yes, for the most part, your garden variety can will do.
Thank you I never deal with recess cans on porches just wondering if someone has ever installed and which type I have been looking for something to install that was damp proof on porch.
The frame and trim need to be listed for damp locations. You're likely to find that most cans have this rating. I've used Lightolier in the past which were rated for damp locations. I think that even the inexpensive Home Depot stuff is damp rated. It's really that simple.