Think yourself lucky you had the stone markers and footsteps to follow on this occasion. True whiteouts are completely different. Everything is the same colour in a true whiteout, and it's very difficult to figure out which way the ground is sloping. Still... there are neat little tricks you can use. One is to gather an armful of snow, and make little snowballs, lobbing them ahead of you as you walk. Naturally, this works best when there's soft snow everywhere. As each little snowball lands, it creates an instant visual reference ahead of you, convincing you that you are actually making forward progress, and at the same time, letting you know which way the ground is sloping. If you lob a snowball ahead of you and it disappears... then stop immediately... because there's a cliff ahead!
The last time I walked in a true whiteout was in the Alps, and there were three other people following me, and none of them had ever walked in a whiteout before. One of them commented on how slowly I was walking, so I let him take the lead, and he immediately realised the problem for anyone leading in those conditions. There's a HUGE difference between facing straight into whiteout conditions, and following someone else's footsteps. Each of those three guys stepped forwards to see just how blank things looked ahead, then they each stepped back and were more than happy just to follow my footsteps. When we reached a high pass, me met another walker coming the other way, and he was a bit worried about proceeding any further under those conditions. However... he'd trodden clear footsteps up from one refuge... and our own footsteps offered him a clear route onwards. We simply exchanged footsteps!