Out of all of my poodles, I only had one (Whitney, my black standard) who did not run to greet guests at the door. She waited to see who was there and if it was someone she didn't know she would back up into the dining room. Eventually she would warm up to the company and all would be well although she would never come quite close enough for the guest to pet her unless she knew them. Bella, on the other hand, is an "in your face" dog reveling in any affection that anyone might give her. HA! My two toys and my mini were also extroverts and just loved being with people no matter who they were.

I think maybe that is just Fritz' personality. Some people are instantly at ease with other people while others often need a little time, and I think it is probably the same with dogs. I think I would just relax and enjoy having Fritz in your lap. I know I wouldn't mind having that cutie spend an evening sitting in mine!