I have Matheson's revised story outline (delivered April 20, 1966). It contains the following on page 6:
Regaining control, Kirk questions the Transporter technicians. Do they know what caused this? They think they do: the injured many whose shoes and jumpsuit have been smeared with soft, magnetic ore. "How long will it take to repair?" Kirk asks. At least an hour, they tell him. "Stay with it then," Kirk orders. "There are sixteen people down there. If we don't get them up before dark, they'll freeze to death."
The stranded crew members aren't seen again until a scene at the end of the outline where they are beamed back aboard. In this version — which, to be fair, is only an outline and not a full script — they're more or less an afterthought.
John D.F. Black read the revised outline and fired off a multi-page memo about it on April 22, 1966. His memo included the following comment about the stranded crew members (emphasis on the original):
(As regards the stranded crew members...this element of the yarn has been given very short shrift...could be used as tense accents through the story...should be used!!!)
I don't have Matheson's draft of the script, but it stands to reason he would have followed Black's direction on this point and expanded the subplot about the stranded crew. According to Marc Cushman, the April 25, 1966 first draft script has the stranded crew men in it (instead of Sulu, it's a character called North), but I don't have the material to verify that. And, since Cushman also says the following about Matheson's outline, you have to take his "research" with a grain of salt:
Absent in this first version is the subplot -- that ticking clock -- where the “landing party” is stranded on the planet, sure to perish if Kirk can’t pull himself together in time. Sensing something vital was missing but not sure what, Roddenberry shared with his staff... [memo quote follows]