I recently use a BIC Sensitive disposable for a couple shaves to see if they were really that bad. I had used them years ago, before I knew how to shave properly with a blade.
I got two of the best shaves of my life from that razor. As close to BBS as I can get. Zero irritation.
By properly preparing the beard, not going over the same are multiple time w/o lather, and paying attention to proper blade angle (which the head design makes it easy to do, probably easier than a DE), the BIC shaved like a hot knife through butter. In fact, using the BIC helped me refine my DE technique to get less irritation.