@Blue Marlin I am not fan of politicians eitheir but to be fair they live in the real world. They have to balance finite resources with infinite demands. Are you prepared to pay more taxes? Or are you prepared to slash NHS spending to buy extra toys for the military? No offense I am not and most British taxpayers are not prepared to do that either. The politicians just smell out the general feeling of electorate and policy is accordingly influenced. Most politicians know raising taxes or slashing NHS is big no no with the UK public. This is bitter reality.
The other thing you need to keep in mind is military profile is fashioned by threat assessments. Russia is primary threat with terrorism being second. All West European countries defence policy is premised on joint NATO response. So I need not fear the Russians because I know if it ever came to it UK response would be part of NATO joint attack.
Therefore looking at RAF or RN in isolation of the wider join defence structures is rather silly in this day and age. The whole point of join defence is each country has to maintain a smaller force as it is only a component in a bigger enterprise. Thus looking at British forces in islolation is rather silly I think. The request for French help is nothing extraordinary. It is the mainfestation of joint defence. On another day in another situation the French might need British help.
Smaller threats that fall outside the remit of NATO Britain is more than capable of handling.