In such situations you should practice “know thy circuit” first. Start with AC volts on your DMM then assume that is centred around the DC reading. That’s good enough to assert that the filter cap was not functional. Also the min/max reading on more complex DMMs is good for this.
Ohh, I "knew my circuit" well enough, but at work, my instrument of choice was an Oscilloscope.
I didn't have one at home, so had to make do with the Fluke 77.
I did check by trying it on ACV, & got a reading of zero, but what I didn't know then, was that those very early 77s only worked up to 1kHz on that range, & then "hit a cliff".
(I still have the original booklet that came with the meter, & checked that my figures were correct, before posting)
I had assumed that it would read ACV OK at 15kHz, & expected a reading in line with your suggested one.
I guess one lesson to be learnt there, was to read the booklet!
I'm glad I still had the booklet---Googling brings up a lot about the later "versions", which are pretty much new designs, rather than refinements of the original.
On Ma-in-Law's TV, I borrowed an old BWD single beam 10MHz 'scope from work, & that revealed the true state of affairs.
I’ve had a couple of fucked DMMs but quite frankly the user would have been dead if it was an Avo.
What had happened to them?