It's really not even a new 22%, if I understand correctly this figure includes a previous already agreed increase (9%). This is unlikely to be agreed and strikes will continue. It's been put to the vote from the BMA as part of an agreement but since the BMA aren't pushing for yes strikes will continue.
Government need to restore Doctors pay. The strikes the previous government have caused have already cost an estimated £1.5 billion.
To fund FPR (35% wage increase) was costed at £1.65 billion. However of this £0.62 billion would return to the treasury in tax/NI - so net cost of FPR was £1.03billion. I.e. if the government didnt force the strikes and paid what the Drs were asking for (i.e. what they were paid in 2008 properly adjusted for inflation) they could have saved £470 million.
I strongly suspect the offer will need to be increased beyond 22% to end strikes.