The problem is, most butterfly-watchers don't kill specimens and examine the genitalia (I mean, I'm glad they don't - I'm happy to live with the ID problems

). For that reason, we only publish photos that match the accepted criteria well, those being the ones we are sure of. The rest we leave rotting on computer disks, labelled
Pyrgus sp. SO, I have no idea if I've seen
carlinae without a 'c' mark, because this is one of the important criteria I use to call something
carlinae. On the other hand, I've seen various shapes of 'c', so there's nothing in principle to rule out a completely flat one. Wing markings like this are only incidental, not essential, to the species.
Here is a selection of
carlinae from my part of Switzerland:
... I could go on - I have dozens. There is enormous variation in the 'c' mark there, but I haven't included individuals where the variation was such that the 'c' was not recognisable, for the reasons above.
I agree with Roger - your butterfly is most likely
carlinae - and someone needs to come up with a true edf for the species ('edf' is a term invented by myself and Matt, standing for 'exclusive diagnostic feature' - i.e., something that if present definitively nails the species!).
Guy