I just figured the PAR was better with mh even though the listed lumens are higher on hps
And that's a funny thing. As far as I know, you are correct - and the second part of your statement gives evidence to it. But I saw higher yields when I started flowering under HPS. Then I ended up donating the MH to someone and running the HPS all the way through - and still saw higher yields.
It was a long time ago, and it seems reasonable to assume that I learned things between the beginning and end of that time. But it was the same strain and method of growing, so... IDK. Maybe "quantity" has a quality all its own, lol.