FWIW I vaguely recall (on another forum to do with discussing (guitar, bass, etc.) pickups that some LCR meters have trouble measuring L when the R is (relatively?--not sure exactly how much) high. I was rather disappointed with my (IIRC) A&D 5827(?) LCR meter which was kind of expensive for occasional hobbyist use (it was only after I bought it that I found many of the pickup winding people seemed to be primarily using another model (which I forget the name of) which apparently did work for measuring pickups (and was less expensive than the one I purchased, to boot).
After that a parts seller/store (here in Japan) started selling the (Taiwan made) DE-5000 (from 2012 according to the web page) and did one of those "mass purchase (10,000 units initially according to their FAQ) and pass the cost savings to the consumer" type deals (maybe USD$50-ish at the time for the unit only without the accessories (which were also very reasonably priced--credit to them), and those apparently are okay to measure pickups with--which I bought since the price seemed too good to pass up on. (Those are the ones on ebay coming from various individuals from Japan with the Japanese text on the box--unfortunately the price has gone up since they apparently pay in USD and the Yen has weakened vs. the dollar a lot--took a quick look and they are about USD$61 for the unit only, so still not very expensive, however since they don't ship internationally I guess you have to buy from some intermediary if you want one.) Anyway, perhaps there is something better now (I haven't really kept up with the latest available).