Seems to be suiting all parties other than the strikers.
BA routes are mostly unaffected and any cancelled BA flights are easily replaced by putting passengers on QR services via DOH, benefiting both parties as QR get the revenue and BA know that they can get more or less everyone where they need to be. BA are, presumably, not paying the strikers anything at the moment either?
QR finding a good use for their crew and aircraft which would otherwise be grounded due to lack of short haul demand and probably making back a good chunk of the money that they are losing due to the current situation.
There is no incentive for either party to change anything. If QR suddenly gain access to the markets they are currently excluded from then it might be a hiccup for BA, but there are plenty of other companies they can go to for aircraft and crew. Yes the QR shorthaul product is much better than that of BAs, which will cause some passengers to comment, but there isn't much they can do. BA won't be offering anything like the QR service any time son and QR, in normal times won't be flying for BA shorthaul either, so the passengers who are BA regulars will be stuck with BA regular service once things settle down again.