So I was wondering if, theoretically, it would be possible to have perfect pitch only on one instrument. For a bit of background, I grew up as a Suzuki cello student and thus have been playing the cello for quite a long time now.
When I'm listening to a piece of music that features the cello, I can 95% of the time tell what note is being played (unless it's in that really high range above the D in thumb position on the A string) accurately. However, this isn't the case for any other instrument - I can't even begin to think about how I could tell what note is what on these other instruments.
So my question is: Is this a known phenomenon: does this count as perfect pitch, or is it just finely tuned relative pitch?
Edit: It has been suggested that this has already been answered, but the question I am asking is not if attaining this on one instrument is possible but instead if it counts as perfect pitch.
Edit again: No, this is not a duplicate of 'is it possible to learn instrument based perfect pitch'. I have already attained this quasi-perfect pitch ability and want to know if it counts as perfect pitch.