I meant the test frequency of the L-meter you are using, not too high at say 100kHz or lowish at say 100Hz. At high frequencies the winding capacitance causes oddball effects.
Why you only get a reading for a pair verses one winding is odd. I tried a junkbox cassette playback head, about 120mH 320Ω each, and half that in parallel, at 1kHz.
The actual inductance is important for the erase head especially as this is resonant tuned.
I find it's common for tape heads to fail open-circuit due to the very fine wire and thermal stress from the epoxy, or flux corrosion inside these are my theories.
If you take an ohmmeter reading (or likely an inductance reading) consider the head magnetized, so I will degauss afterwards.