> What do others (DoE supervisors?) think?
Tent and kit splitting seems quite normal. The group I've started working with have a variety of tents, but they're each 3+ man tents, and they have two tents per group (max group size is 7). They carry a Trangia stove (or remnants thereof), but are issued mini-hob burners in camp.
It would be unfair to lumber of member of the team with the entire tent, probably weighing 4+kg (they're cheap and cheerful; finite resources, etc). So, the fly, inner, poles & pegs are split between three.
Our group are not allowed to sleep on their own; there has to be at least two in a tent. Risk assessment. Plus, sleeping alone breaks up the group dynamic, and isn't good for team building; 'ooh, she's thinks she's better than us', etc. likely to lead to ostracism.
> Just be aware though that if you do that the other kids might not necessarily look after kit like you would yourself!
That's why the tents are cheap...
They are not allowed to cook near the tent.
As GOF says, it's an issue of risk assessment & duty of care. Inexperienced campers (which most Bronze DofEers will be) are a significant risk to themselves. And cooking involves some of thre greatest risks.
> Getting her to listen to my advice is another task in itself.
Indeed; that seems to be a common problem. You and their supervisor can give them all the advice you like on packing light, taking sensible clothes, etc, but they'll still sneak in three pairs of jeans, a dressing gown, hair dryer, straightening tongs, litre glass bottles of shampoo, etc. etc.... The do seem to learn to pack lighter next time, though...