Firstly, it's important to understand what spread-of-flame isn't... it's not a means of measuring how fast a fire will spread across a wall/ceiling. The BS standards essentially represent how much energy you have to 'pump' into that material in order that it exhibits sustained self-piloted flaming, & the BS EN tests represent how much energy the lining releases if a small-ish fire impinges directly on it. The BS tests do this using a gas-fired radiant panel (Class' 1 - 4) and a small electrical 'furnace' (Class '0'). The BS ENs use a rather larger piece of kit that's meant to represent a waste paper-basket sized fire burning and directly impinging upon the surface (and it measures the 'power' output of the burning surface using a calorimeter).
I'd assume that untreated rough-sawn timber might achieve Class '4' if tested to the BS or Class D/E in the BS/EN (which is a about as bad as a building product gets). This is not necessarily a problem if a fire will be detected early, if there will be no delay before evacuation commences, if the area in question can be cleared quickly (to a protected route or a place of safety), if the cladding is not on the means of escape routes and if there are no significant dead-ends. If these cannot be achieved, though, I'd suggest that there could be a problem (let's not forget how many tragic incidents there have been where drinking/entertainment establishments have had fires where the wall/ceiling finishes have been major contributors to multiple deaths).
If you are worried that the stuff hadn't been treated, then you could recommend that a sample of the timber is removed and subjected to an 'indicative' test to BS 476: Part 7. It's not expensive and it's a good indication that the stuff's been treated effectively. I did this once for some scaffolding board (on a construction site) and it revealed that supposedly Class '0' marked treated timber was actually Class 4!