In MT, you can trap a guy in the corner, but the strategy is not used as often as it is in boxing. Boxing guys move a lot more in the ring, therefore cutting off the ring is something you are constantly doing.
Sprawling is easier in boxing, at least in my opinion, because boxers have a lower center of gravity. Boxers have to bob and weave, so their stance is lower. Whereas MT'ers stand almost straight up since they don't really have to duck their head for much.
I definitely agree that clinching in MT helps a lot in a street fight. But if you let someone get in that close on you in a street fight, chances are someone is already knocked down/out.
You really don't know anything about Muay Thai do you??? Firstly theres no reason that people don't trap another person in the corner in Muay Thai I do it all the time.
I will agree with you that Boxing has better footwork, Thats probably true but people can be trapped and stalked in Muay Thai as well.
I don't know which is better for sprawling as both aren't designed to defend the take down, Especially boxing as there are Throws in Muay Thai you have to defend with mainly balance, I'd say the average MT v Boxer being shot at by a Wrestler, The MT guy will do better because purely these days, Most people who train MT will do some MMA, Atleast more than most ppl who do Boxing.
Your last setance makes no sense, Its very easy to get in that close on an untrained person and block what they have and then clinch/ knee the fuck out of them.
TS: For a start it's a dumbass question to post to be honest because people who train Boxing will say do Boxing and people who train Muay Thai will say Muay Thai.
My 2 Cents:
If this "fight" you are talking about is on the street then do Muay Thai as it's very easy to break your hand in a streetfight on someone's head so if you do Boxing and you land a one two with someone's head down, You've fucked up your knuckles and there still infront of you, If your going to use Muay Thai, Then you can kick their legs, which really fucks untrained people up, clinch in close and elbow/knee. E.g. your less likely to injury yourself.
If this "fight" is meaning an MMA match then both have their advantages, Both are very effective and you have to pick what style you wish to use!