There is a slight risk involved of feeding during shed. The old skin layer (the one to be shed) looses some elasticity and during the actual shed it can get hung up on the undigested prey item and that can cause all kinds of issues. It is super rare but has happened and has been documented. If you choose to try keep it small much smaller than a normal prey item and stick to early in the process rather than later. It is simpler just to skip.
I never knew there was any risk involved that is good to know (even if only slight risk)
I feed live and my two BPs have never refused at any stage of shedding, even with blue eyes. However i may just wait till they shed from now on after reading some of these posts.