In my experience with my two three wheeled go-karts, having the single wheel at the back is much more stable. I’ve never worked out exactly why that’s the case though.
As far as straight line stability I’m sure it has to do with being pushed vs pulled. I wonder if a FWD single-front-wheeled go kart would be more stable than a RWD single-front-wheeled go kart
Polaris makes a "Slingshot" vehicle in that configuration, it looks like fun. From just looking at and sitting in one someone was trying to sell, I was concerned with its balance at speed. It felt light and as if it would be easy to put into an unrecoverable spin. Never got to drive it, alas.