Last time I flew at Lee (am due to do so again on Saturday) there was no generally available fuel and GA's nearest was at Bembridge.
Plod's Islander and Coastguard's S-61 will have their own bowsers but I wouldn't see why they need to be any more than a 4 wheel truck / 1500 gal type size. 1/3 the size of the average Shell tanker delivering to your local filling station.
As a view on the rather sensationalist nature of the newspaper piece. Fuel tankers on the road ARE (unfortunately) involved in collisions and being hit by another artic is probably worse than being hit by a Yak ... and I am not aware of any incidents where there has been a "massive explosion."
Again - regrettably - Aviation, the Truth and the Press are not bedfellows.