I’m moving my reply to this thread (and modifying it a bit); I suggest you delete your reply in the other thread as well, since it’s a necropost to a 6 year old thread.
People have been using Kester 44 for the better part of a century, mostly without cleaning. It’s safe to leave on, in that it does not cause corrosion, and its conductivity is low enough for normal applications.
I’m a bit puzzled about the “don’t apply directly to the tip” line, too, insofar as you never apply solder to the tip when making joints (you heat the joint and apply solder to the joint, not the tip), except that you must tin the tip with solder before (and ideally after!) use.
Anyway, Kester 44 (technically ROM1, which most closely aligns to RMA, but Kester classifies it as RA. However, its residues are non-corrosive and explicitly are safe to leave on for most purposes) is the same stuff people were using when your vintage gear was made. And it’s a fantastically good solder. I use it daily at work.
I recommend the size-66 flux core (~3% flux) when using thinner diameters like 0.032”/0.8mm or smaller.