I have had 2 "dummy" chicks in the past couple of years that were similar in behavior and both died at about 1 week of age. First, they were both hatched with HUGE vaults which is probably part of the problem. Both of them tended to walk backwards from the beginning, but that did improve in a few days. Both seemed to not understand how to eat or drink, even with the other chicks leading the way. Both would drink when I dipped their beaks, but then didn't seem to have the ability to go to water on their own. I never saw either of them actually eating with the other chicks. Both tended to stand in a corner...but neither of them peeped loudly as though in distress. In fact, they rarely peeped at all.
This occurs in foals every now and then. When I foaled 30-40 babies a year I would generally get 1-2 that were "dummies" and we had to teach them to nurse, etc. Usually we had to tube feed colostrum to them for a few days until they "got it".
Can't tube feed chicks (or at least I can't) and I'm sure they die from starvation/dehydration. Very sad...hope your baby "gets it" soon.
Edited to add: Neither of these chicks were related in any way and did not come from the same parents, so I know there is no genetic correlation.