Actually clean clothes are far less important than dry clothes, I know a few guys who have gone 6 weeks without a shower or a change of clothes, as long as they kept them dry they were good.
local conditions also affect the whole 3's rules, 80's on a south pacific island, you may never really need shelter. -80 in fairbanks alaska, well you may need it first. and you may never find anything to burn either.
Water is the same, humid, cool conditions, your body may last a week, in the gobi desert at altitude, you might last day, again it all depends.
Making rules like this are often detrimental to the well being of the person involved. sometimes you have to move. Sometimes you should move.
I would say more people end up walking out of situation, or at least inproving their odds, by moving than do who sit still. Sometimes waiting is the best Idea. plane crash victims often have this dilemma. If the plane is on a preset flight plan, (often they are not if you in the bush) then sitting in the wreckage maybe a good idea. But it may not be either, I have seen several crash sites in my day that were not found till the snow flew or the leaves left the trees. If i go down in may, i am not waiting till november for a rescue.
It may be, that moving to a hill top will make your rescue much easier, it may be that the effort involved is not wise to expend. Again it all depends. I was around when a search team went looking for a group of fishermen who had been thought to have lost in a storm as their boat was found upside down and empty. One of the group climbed a small hill top and found an open area and when a search place flew by, he was able to gain their attention. The storm had blown the boat nearly 25 miles away from where they were, and it was there that the search efforts were taking place, only because they were able to gain some height were they found.
I would say the Rules are:
Make no rash decisions.
Use your surroundings to dictate your response.
Prioritize your efforts based on the conditions you face.
Take an inventory of all available assets.
Although rescue may be your best option, do not place all your hopes on immediate rescue.
and lastly, Don't panic, I have tried panic and it did not work.