Core permeability varies as a function of flux density (Bmax). Sounds like it's near saturation.
Bmax is a rather useless parameter, because you have to know core dimensions and number of turns; it's not something where you can simply apply a known waveform and say it's now running at so-and-so flux density. But anyway, those are the missing parameters, and the rest is just ratios, so it's not like it's some mysterious property.
1kHz may also be rather low to be testing at. Though a reactance of ~30 ohms compares favorably to the 0.4 ohm DCR, so it shouldn't be too bad.
If reactance were smaller, it would be that much more important that your inductance meter performs a meaningful measurement. (Many testers simply measure the magnitude of the AC voltage or current developed -- capacitor ESR testers very commonly do this -- and so do not take into account the ratio of reactance to resistance.)
Tim