I'm not surprised. Typical of LY to blame anything but themselves....
Global alliances typically look to fill "holes" in their networks.
What does LY offer? TLV-Europe, TLV-Russia, TLV-NYC/YYZ, TLV-BKK/HKG and a flight or two to ZA.
SkyTeam has Europe to everywhere that could connect over TLV from KL/AF/AZ, ST has DL NYC-TLV (major route).
Star has Europe to everywhere with LX/OS/LH. Star has the most North America-TLV with YYZ (AC), 2X EWR (CO), PHL (US). No way.
Oneworld has europe to everywhere with BA (and IB I guess), BUT, they have the best fit for LY (possibly) if LY codeshares with RJ on the TLV-far east, those passengers could avoid schlepping around the arabian peninsula. And OW doesn't have any TLV-North america. And, AA codeshares with LY already, so why bother with the "alliance".
The truth is that LY is a penny-ante operator. They're as cheap as possible at every turn. The best thing an alliance could get out of LY is a dumping ground for their old planes.