I regularly sit down to pee because the toilet in my van has a divider which diverts all the solids to the back and the liquids to a storage tank in the front. Good to know it's also healthy for my prostate.
My problem is that I drip when I stand up even after I'm "finished". It feels easier to get every last drop out when I stand up.
Also, I could never have carpet in my bathroom. That just sounds like a breeding ground for mold and mildew just from the humidity of showering even if you are sitting down to avoid sprinkling droplets of pee everywhere.
Protip: when you're done, doesn't matter sitting or standing, push on your taint. It often helps clear the plumbing and prevents dripping. Was a life changer when I found that trick.