I get the impression their may be some confusion as to what your colleagues mean and/or your understanding of the meaning of fire training (no offence).
it appears to me their is 2 maybe 3 different types of fire training being discussed/confused in your post. They are;
Safety Training (Fire awarness training)
21.—(1) The responsible person must ensure that his employees are provided with adequate safety training—
(a)at the time when they are first employed; and
(b)on their being exposed to new or increased risks because of—
Fire marshall/warden training
15.—(1) The responsible person must—
(a)establish and, where necessary, give effect to appropriate procedures, including safety drills, to be followed in the event of serious and imminent danger to relevant persons;
(b)nominate a sufficient number of competent persons to implement those procedures in so far as they relate to the evacuation of relevant persons from the premises;
and maybe even
First aid firefighting duties
(3) The responsible person must, where necessary—
(a)take measures for fire-fighting in the premises, adapted to the nature of the activities carried on there and the size of the undertaking and of the premises concerned;
(b)nominate competent persons to implement those measures and ensure that the number of such persons, their training and the equipment available to them are adequate, taking into account the size of, and the specific hazards involved in, the premises concerned;
I think what they are saying is your full time colleagues are receiving annual training for the latter 2, and they don't need you to receive the training because you have not been allocated duties under article 15 nor required to perform first-aid firefighting duties, article 13. As was said in your first post 'permanent staff are trained, they take control of the situation'. this is perfectly acceptable, as long as they are not expecting you to fullfill those roles in their abscence, in which case you would require the same level of training as them.
However; general fire awareness, to satisfy article 21, must be given to all staff. This FA training need only be given once on induction(except when (b) applies). The refreshment and practice of that knowledge will be ensured by taking part in the twice yearly evacuation drills.
just to be clear. an employee being full time or temporary has no relevance in this order. it is their workplace, duties and responsibilities that dictate the level of training they require.
In short! you may only need FA training
I hope this helps!