I am just back from a week in a floorless tipi with wood stove at Red Lake, Kodiak, Alaska. Daytime temps 50s, night time low 40s, one solid day of rain. I have camped with this setup many times with a group of friends on elk/deer/goat hunts and archaeology surveys in all four seasons. I am the only one of the group (I think) who uses any type of ground sheet; I use a DCF Hexamid Twin floor staked out at the four corners for a groundsheet under my sleeping pad. The rest of my gear is in various DCF waterproof bags or ziplocks and usually piled on top of my pack next to my sleeping area. Never really had a problem with stuff being wet, etc. More than a ground sheet under my pad seems like more of a hassle than anything else. The ground is usually drier than I anticipate, especially if we spend more than one day in the same spot.
I solo camp in either a DCF Solomid or DuoMid and use either a polycro or DCF ground sheet only under my pad.
I have used Tyvek, Polycro, silnylon, and DCF ground sheets. They all work just fine – I find that the DCF is not quite as slick or slippery as the polycro and silnylon. Tyvek is just too heavy to my current thinking.