Klasse AIO will work well on hard smooth trim pieces. I use it on them all the time, lceans them and leaves a nice shine on them (like a sheen almost.)
I don't apply SG to them though. I find AIO enough.
For textured trim I don't recommend it, a trim product will wuit it much better (Meguiar's #38 comes to mind, along with their consumer Trim Detailer, 303, etc. etc.)