Don’t know, but the Kassutronics VCO 3340 is said to draw 15 mA +12 V and 15 mA -12V. It looks to me like a fairly similar circuit to the LMNC. There are other 3340 VCOs with much higher current specs, circa 60 mA per rail or more (e.g. the VCO Maximus) but maybe because of extra components.
If I had one of these VCOs I’d use my new current tester on it, but I don’t…