Correct, and I think they erroneously did, causing him to attempt to relight the first engine to flame out, and amongst other things switch the prime pumps on. If he remotely suspected insufficient fuel in the supply tanks, he would surely have put the transfer pumps on, and would certainly in my view have executed a powered landing on the remaining engine. He was so busy troubleshooting the first engine flameout, that the second caught him unawares, leading to the unsuccessful autorotation. Or at least, so the hypothesis goes.