Why would Tur be pronounced Ter?
Do you not pronounce 'turd' with the same middle sound as 'were'?
I think it's a bit of a red herring here as to how people pronounce the 'tur' part, according to their accent, as (as I understand it) the question was basically whether you pronounce the 'r' in any way or ignore it and reframe the the word as though there were no (first) 'r' there at all.
I never understand why this commonly happens with February too.