An alternative taken on a well beaten path, could be ruining Oates last words instead.
CAPTAIN OATES - I, maybe some time.
CAPTAIN SCOTT - Okay bud. Oh, mate, looks as though you've sat in chewing gum.
CAPTAIN OATES - Have I? Where? Oh jesus, I've just had this dry cleaned.
CAPTAIN SCOTT - You need to freeze it. Put it in a freezer or something.
CAPTAIN OATES - Are you being cocky.
CAPTAIN SCOTT - Ha ha, you know what, I wasn't even thinking then. (chuckles to himself) Anyway, you were off out. I'm just writing my diary. I'll just jot down that incident , that'll be funny to look back on back home eh? Freezer, ha ha. We're in the North pole. Ha ha
CAPTAIN OATES - (BEAT) Yes. Er, actually, could you just not write that last bit
CAPTAIN SCOTT - Sorry?
CAPTAIN OATES - Just leave it at when I said "I may be some time" if you would.
CAPTAIN SCOTT - But the chewing gum incident. I mean we are in a freezer! And I said...
CAPTAIN OATES - (Raising his voice, then calming) I know... what you said. And it was funny. But can you just say that it happened to John (indicates to man in sleeping bag) or something
CAPTAIN SCOTT - It's not same though is it. Scotty and Oatesy, Oatesy and Scotty, on the pull. It's always me and you. Brothers. (Playful punches him in the arm a few times. Oates is less than amused) I mean, it's not as if they were your last words were they. Come on, lets have a game of Travel Scrabble.
CAPTAIN OATES - Actually they were my last words and it's all been f**ked up.
CAPTAIN SCOTT - Oh, sorry mate. I understand though. The bleak emptiness and freezing tempratures can get to the best of us. You go on. Pop your clogs.
CAPTAIN OATES - I can't now. My last words will be "Jesus I've just had this dry cleaned". thats rubbish.
CAPTAIN SCOTT - Yeah.(BEAT)Travel Scrabble?
(OATES plonks himself down as SCOTT excitedly opens the Travel Scrabble)
Then you could have a follow up sketch where, SCOTT is writing in his diary, OATES stands up in the tent and walks towards the exit.
OATES - I, may be some time
(OATES turns to look at SCOTT whos writing in the diary. SCOTT gives OATES an exaggerated wink)
SCOTT - See ya later then.
(OATES walks out of the tent)