you say it carries no particular musical benefits? i can write down the melody as I hear it, or just play it back. that's one of the benefits. (you can easily impress the chicks) it's true that to move from one frequency standard to another you have to 're-tune' yourself a bit which does some damages to the perfect pitch (it has happened to me), but in general i've never considered it a hindrance, only a benefit.
In addition, if you are, say, a violin or viola or cello player, without a sense of a perfect pitch you are doomed. don't even try to play.
Incidently I've never thought about the 'perfect pitch' as a memory. At least I have never made any attempts to memorize anything. Well, consider is as a built-in memory which comes with the whole package (that is me). as i listen the music, the pitches of what i'm hearing ('their names'

just pop out in my mind, but it's going on on a background and never interefers with listening the music. of course if I need to record something, I sort of 'move it to foreground'.
Oh well, I should use the past sense. I quit being a professional musician already for many years. The staff I'm talking are my past experiences. But my perfect (sorry about the term) pitch is still with me. Not that I really care at this point.