That just about sums it up. If you're flying ex-TLV then you can take your own wine on board. In theory it's not allowed (BA's licence to serve alcoholic drinks means that only they can provide it) - but in practice I've never had a problem.
But no kosher wine for Hermolis KSMLs. Someone at BA told me that supplier couldn't provide it. Complete rubbish, of course - as Hermolis can definitely do it, as Asher13 points out. The meals that Hermolis provide to AA in J/F (actually its usually the same meal) do usually include a quarter bottle of OK-ish Kedem or similar wine.
Ah, how I remember the good old days when one could take on board one's own wine at LHR. In particular, a very memorable flight to SFO with a friend sharing an excellent bottle of Claret. I think it was a 95 Chateau Smith.