Mongoose, spoke to hants last week and AOLQ apparently does not include animals above deer, which apparently are boar, goats and sheep, you could not make it up if you tried.
You don't need to -
they are making it up!
I think the police would have a hard job persuading the CPS that 'any other lawful quarry' meant something other than the obvious meaning conveyed by those four words.
Anyhow, back to the OP.
There is no right to appeal
via the courts against FAC conditions. That does not mean it is unlawful to invite the FLD to reconsider conditions that, in the light of information and opinion that you may submit with that invitation, they might think unreasonable.
So while there is no redress
via the courts against FAC conditions, FAC-holders certainly have a right (or duty, even?) to request review of condtions they consider unreasonable. If the FLD agrees that the condition is unreasonable, it is therefore unlawful and must be removed.
The thing here is to make a robust case in support of the hypothesis that the condition you consider unreasonable actually is unreasonable; or put another way, if the conditions are restricting you because the FLD has worries about some aspect of your skill or experience, give them the evidence they need to stop them worrying.
Myself, I wouldn't call it fighting - it's more explaining, really, and both providing evidence and asking for the evidence the FLD are using to maintain their contrary position (if they indeed are doing so!).
Not fighting, but constructive dialogue. Or, at worst, wrestling: keep your arguments slick and well-oiled, your feet firmly on the ground and your bearing dignified. 'Fighting' makes me think of knuckle-dusters, broken bottles and chair-legs; the verbal and epistolary equivalents of which are not wanted in this particular arena!