My best friend isn't nearly as into politics as I am but we actually took one of the popular political preference tests while getting lunch once. She's one of those people who is very much socially liberal but likes to say that she isn't with 'either side' and I believe her results were somewhere in the middle as expected.
Though as is usually the case in my experience with these breezy day moderates when you actually get into the nitty gritty regarding the kind of society they want and policies they support they almost invariably line up with almost all major Democratic priorities.
I think your experience is right. My mother is one example. She scored 87%-8% agreement with the Democrats>GOP on ISideWith and got Social Democrat on 8 values. Her views and her votes are her own and I'm not going to try to influence them but I don't think she would ever vote for an R although she is nominally bipartisan/moderate. Her highest score was with the Greens at 89%, just btw.
And I might as well say, one of my brothers got 86%-35% agreement w/ Dems>GOP and Liberal on those two tests and my other brother got 68%-41% D>R and Centrist. In comparison, I got 62%-65% (GOP +3) with ASP at 74 and Centrist on 8 values most recently.
Notably, I also got the most economically left score (around -5/-6) when I was more to the left when we plotted our scores for political matrix for a civics course in high school.