Which blurred bit are we supposed to be looking at!!! I'm 50/50 whether this is synthetic or natural. I've seen polyprop weaves like this plus the latex backing gives weight to that suspicion. Most of the time cotton or linen weaves aren't latex backed but too many variables to be precise. Irrelevant really, you just need to know what THIS fabric is going to do (or not do) when you clean it.
Obviously too late now but I'm presuming you took this pic on a quote visit?
In these situations, with the customer's consent of course knowing they might brown, I would wet up the zip panels of a couple of cushions and ask them to leave them so the areas could dry off. One part I would wet with just water, another use a mildly acidic solution and another make a worst case scenario with something like alkaline HD microsplitter
After 24 hours your customer will be able to report back to you if you give them a call.
Your two main enemies are texture change and browning, different problems on different fabrics. I think dye bleed and shrinkage in modern fabrics is a thing of yesteryear, have never ever encountered either problem.
Incidentally, if anyone's going to Alltec (Eastby Services) go have a look at the viscose sofa they have in the staff room.... someone had a whoopsie and wet cleaned it. A very stark reminder of how things can go wrong!!!!