Good catch, chas... Love that tune!

There are two different things going on at the same time here... First is the ability to play in any key. A fine goal, and something that any professional should be able to do, and any amateur should work towards...

Next is the issue of muscle memory, and licks that work in one key, but not as well in another. And this is very interrelated to whether you are working with a singer (including yourself!) that can sing the song in the original key, or whether it needs transposing for their voice (no transpose button on that!). So, although I might be able to pull off a familiar song in an unfamiliar key, if it involves some tricky finger work, or glisses that don't work in other keys, or I am SO used to doing it in one key and will only accompany this singer this once, I'll hit the transpose button, no worries.

Just don't let it become a crutch.... Use it for a reason OTHER than you HAVE to because you can only play a few keys.