Good topic with tons of opinions on both methods. Harvesting is a bittersweet thing for me, a worthy pain in the ass though. I've tried all methods, and for my own sanity, I break it up:
I chop whole plant or halve it (I mainline so halving the plant is easy), then remove big fan leaves, some big sugar leaves, dry it, then cut stems off one by one, dry trim, then jar. Personally I think it's more efficient than wet trimming. The sugar leaves often pull right off and the thing about losing trichomes with dry trimming is rubbish. Careful handling is key to trichome preservation. Dried buds are easier to handle in my opinion. Hell I rarely touch a bud, I handle by the stems and only the tips of my Fiskars comes in contact with the buds (for the most part). I don't save trim so a screen is not needed. But I can see it being helpful if you're doing something with trim.
I'm chopping a beauty in just a couple hours in fact!