They used to be called 'choppers' all the time 20 years ago.
Some of us may even recall the car bumper sticker which read
'My chopper is insured for half a Million'.
An individuals Total time is rightly one's Rotary time AND Fixed wing time. Usually most operators understand the advantage of having more of a varied general aviation experience but each company has an Ops Manual to guide it.
This is written to suit its own individual needs often quoting minimum hours of experience required etc.