That was true in the past because few meters would read frequencies past $20kHz. Newer meters (like this one) can read line voltages and up to 30MHz. A frequency counter IS a reasonable first step for the OP's project if he doesn't have a scope. The strong (Low impedence) signal from the PWM drive circuit will largely wipe out any RF interference and a reasonable frequency and duty cycle measurement should be possible at 2MHz and below (where most SMPS operate).Sorry, but using a multimeter in a completely inappropriate way and killing it is a very rookie mistake - I wouldn't consider anyone doing that 'knowledgeable in repairs'.
I'm guessing there is a manufacturing error or operator error involved here - not an inappropriate use case - and especially not a completely inappropriate use case.