Well, I have owned many countless numbers of snakes for 43 years now, and I can tell you that many snakes will not eat while in their shed phase, while other individuals will with seemingly little to no hesitation. It makes absolutely NO difference whatsoever either way. If the snake will eat, let it eat, if it won't during this time, you will then know not to offer it food during a shed cycle, simple as that really. Live prey tends to scare many snakes while their eyes are blue since this process greatly impedes their vision. But even so, many refuse their typical frozen/thawed rodent at this time too, and can be very hesitant and reluctant to feed at this time, this is very typical of snakes at this time, but there can be many individual exceptions to this just the same..
Approx. 2-5 days AFTER the eyes totally clear up again after being blue, they will actually shed their skin, this depends on their activity level and is governed by several factors. So if the snake did not eat during it's shed cycle, it will certainly eat afterwards if the other conditions are still in order.
I always like to see snakes that will accept food in shed, otherwise, unless I have their cages knowingly marked as being in shed, and they end up NOT eating, it is a wasted meal, and basically has to be given to another snake. Although rodents can be refrozen once, it still degrades the integrity of the skin, especially the belly.
Anyway, it is no big deal either way, as they can easily go the short period until they do shed IF they do not accept food during this time anyway.
regards, ~Doug
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"a snake in the grass is a GOOD thing" 
my website -serpentinespecialties.webs.com