Actually no, I was right. 1-shot cop should claim. Because then we have a guaranteed real cop, but 1-shot has to get roleblocked, so it is like blocking the blocker to ensure the real cop isn't.
I am brilliant.
I would agree with this, but I think you must admit that the chances of having a 1-shot cop and a cop are much smaller... because as you say we either have MDD or MMMDD (here assuming you are telling the truth and we have a 1-shot doc and a doc) To have a 1-shot cop and a regular cop we would need to have CCC or CCCCC.
So yes we could have MDDCCCX. But we can't have MMMDDCCC or MMMDDCCCCC... too many letters. And we can't have MDDCCCCC, again too many letters.
if we have 2 docs and a 1-shot doc then we would have DDDD, making it impossible to have a 1-shot cop and a cop as DDDDMCCC is too many letters
this of course is the slight problem with claiming, as we have clued mafia into the fact that it is much less likely that we have the above, especially as they know their own powers, etc, etc...
Oh... I think I see the fallacy of your argument here ash... a 1-shot cop actually tells us very little, at least compared to a 1-shot doc. From the wiki:
"Cop Roles
C = 1-Shot Cop
CC = Cop
CCC = Cop, 1-Shot Cop
CCCC = 2 Cops
CCCCC = 2 Cops, 1-Shot Cop
CCCCCC = 3 Cops
Cops are guaranteed to be sane."
C= 1-shot cop. So just because we have a 1-shot cop doesn't mean anything in regard to a regular cop. It isn't like doctor which works like:
"Doctor Roles
D = Doctor
DD = Doctor + 1-Shot Doctor
DDD = 2 Doctors
DDDD = 2 Doctors + 1-Shot Doctor
DDDDD = 3 Doctors"
So again, no cop claiming until the roleblocker is dead yo!