Also remember that the NTC isn't a true inrush current limiter. If you quickly re-apply power, before the NTC has cooled down, but with enough load that power supply capacitors (that cause the inrush to begin with) have discharged, then inrush current is limited only by the hot resistance of the NTC. If that suffices, then you could have used fixed resistor instead to begin with. With NTC, the common strategy is to accept that "sometimes" the inrush current is only limited to the hot resistance, this would be the critical worst case design parameter, and then the cold resistance would, sometimes, maybe, offer even lower inrush current, on average case, but that's only a bonus.
Best would be to design the upstream to handle that inrush current. Meanwell designers have designed their product to certain level of inrush current and 99.99% of applications are fine with it. Maybe a better idea instead of trying to reduce inrush current, is to fix your use case to fit the typical - if at all possible, unless your application is truly special. On the other hand, if your application truly is sensitive to high inrush current for whatever reason, you might want a better limitation strategy than NTC - for example, a resistor, protected by thermal fuse, bypassed by relay, plus control logic.
If it killed a "power meter", it must mean this meter was just shit and totally unsuitable for the job.