I think you will find that what you're talking about is flying with 'Min fuel'. Which means basically flying with the fuel calculated for the paperwork based on the wind conditions, flight level etc and built into that are the normal contingencies which have always been there for go arounds and diverts etc.
What is happening now is that the fuel prices and the governments crusade against aviation are making all airlines struggle with the cost of fuel and it's now the biggest cost, at least it is in my operation. The problem is not a matter of safety in terms of normal operations but more a matter of inconvenience because if for whatever reason such as weather that you have to hold...then you have to divert in order to land with the minimum legal amount of fuel on board.
In days gone by we used to have the option of carrying extra fuel for 'comfort value' but now the prices are so ridiculous that airlines are having to adjust to it and reduce the comfort value fuel, or even be rid of it. So if the proverbial hits the fan and there are going to be any delays to the approach then all the passengers are going to end up in another city or in some cases another country which will incur costs to the passenger and major costs to the airlines involved. This isnt the fault of the airlines but the fault of the fuel prices and the british government.