Just in case you haven't been following this thread on the BA board, BA has now announced that it's going to 2-class service to TLV with the phase-in starting this autumn. They'll be using A321s with Club World seating installed, and also using T1 at LHR for some (all?) of the flights, which will now number 3x daily.

So if you're still contemplating an AONEx from Israel, better get the first segment booked before it vanishes off the BA timetable, or else consider starting it in Cairo, where the 777s stay until January (when they too are replaced with A321s.)

Or, save a ton of fuel surcharge money and buy an AONEx out of Amman, and save your BA F European segments for later, e.g. AMM-ORD-DFW-ANC-DFW-YVR-JFK-HKG-HND-SIN-LHR-MCT-LHR-MAD-AMM, or some such.

Or, if time allows, have a look at an AONE5 ex-South Africa, which is around US$1000 cheaper than an AONE4 ex-Israel, and which would give you access to even more "true F" longhaul segments, hence an even greater tier point harvest.