Correct: I have had two jobs where I only worked 32 hours/week, but was considered a full time employee with benefits and all that.

However, just because your employer considers you full-time doesn't mean other organizations will. When I was getting my mortgage, it was with one of those 32 hr/week jobs, and my loan company would not sign off on an approval until I could show a paystub with 40 hours/week.

I told them I'm considered full time at my company at 32 hours, and they basically said that's great, but their policy is 40.