Does multi-weapon add BP?

Hi just a question. I would like to further increase my BP, will multi-weaponing my current gear increase my BP?

For one-star weapons, multi-weapon does not increase BP.multi primm.jpg

But when I did this with my main weapon, it seemed to me that the BP increased, but now I'm not sure. ^^ UPD. Now I have watched old videos that I made before the multi-weapon and the answer is no. the same BP.

Lol. just kinda noticed, but i can go to UQ with this primm sword. Yeah... Bp is implemented really badly.

Nope using a multi weapon doesn't affect BP at all on it's own.