what a load of tosh, gromit.
You really ought to study recent Algerian history in the 20thC before pontificating and you may just learn that there is an inherent distrust of European nations, mainly due to the impact and deceit of the French when Algeria was under their custody, with a healthy disregard for Spain and Italy too.... The UK is just seen as yet another European and one of the better ones for striking oil and gas deals with.
I am not surprised that they have done their own thing - with the growth in terrorism and also a long wariness of their eastern border and the shenanigans going on over there, their way of dealing with terrorism has always been shoot first and ask questions later.
The one sensible remark that you make is that perhaps the SAS and perhaps the Delta Force were on the ground - but only in the last few days......the first call would, probably, have been on the French equivalent.