I would go for ad hoc testing anyway irrespective of what the supplier claims. Its surprising what this shows up - I usually make a judgement based on a number of match tests. Completely unscientific but its surprising what you find as a result.
Many local authorities still issue guidance on marquees based on standard advice- heres an example dating back to 2008 so is about the most recent you will find:
3.1. The marquee must be manufactured or treated so as to reduce
the flame spread hazard associated with the use of large areas of
textile materials.
3.2. New fabrics are to be inherently or durably flame retarded
when tested to BS 7837: 1996. However, fabrics tested to the following national standards are also acceptable:-
British Standard 5438, Tests 2A and 2B,
British Standard 7157,
French Standard NFP.92503, Performance Level M2,
German Standard DIN 4102, Part 1, Performance Level B1,
Italian Standard UNI 9174, Performance Level M2,
USA Standard NFPA 701, Large scale test.
3.3. The use of structures manufactured to British Standard 5438:
1989 are still deemed acceptable at this time.
3.4. All unattached lining materials are to comply with British
Standard 5867: Part 2, fabric type B, the specification for fabrics for
curtains and drapes.
3.5. Linings for marquees and large tents may be suspended using
ropes constructed from man-made or natural fibres and may be
laced together using the same materials. Linings are only to be used
if constructed from an appropriately flame retardant fabric.
3.6. It should be appreciated that any subsequent treatment to the
fabric, such as the use of colour dyes, may have an adverse effect
on its flammability performance and that in such circumstances the
required performance level will need to be restored.
3.7. Where the marquee is provided for the purpose of public
entertainment, and or for the purpose of a Licensed Premise, the
Licensing Authority, will require the production of a Certificate
showing compliance with one of the above Standards. ( see 3.2)
3.8. The marquee is to be erected by a competent person and must
not readily collapse when exposed to fire.