Well i'm biting well and truly i'll have a go at explaining why DT78 did the right thing.
Ignoring the fact that they seemed unimpressed (i would suspect that as they reguarly deal with small fires in certain areas of Hampshire that the 3rd or 4th small fire of the day will leave them a little unimpressed, especially as an attendance will mean they are then unavailable for further (potentiall more serious) calls - but as secondary fires fall into the fire services remit, control obviously deemed it a suitable call to turn a crew onto.
Moving onto why it's neccessary
Most older mature forests are at the stage where the soil is a very dry mixture of wood mulch, once a fire gets into this it can travel unseen deeply under the surface of the ground to re appear elsewhere. This can neccesitate digging huge trenches to expose and extinguish it, add in the fact that the woods are currently very dry and the potential for rapid fire spread is there (i know i've had more than a few), these fires could if left to develop (not managed like when the FC deal with them) will draw in substancial resources as well as potentially developing into serious fires, these fires can travel at tree top height at speeds that it isn't possible to out run or re locate equipment or vehicles. Which obviously has outcomes.
As for the little digs at what fire fighters get up to, maybe you should knock on your local station door and just have a chat about what we really get up too. Might waken a few of you up!