I found the full list of industrial diseases which thr gov recognises as qualifying for compen.
DWP - DB1 - Appendix 1: List of diseases covered by Industrial Injuries Disablement Benefit
A long way down the list is
D2 Byssinosis. A respiratory condition. Work in any room where any process up to and including the weaving process is performed in a factory in which the spinning or manipulation of raw or waste cotton or of flax, or the weaving of cotton or flax, is carried on.
In my civil service career I was involved with administering Industrial Injury Benefit for several years in Burnley. I do not recall ever seeing a claim for lung disease connected with weaving. That does not mean that there weren't some, but that they were uncommon (in my experience)
The list of diseases has been increased over time, and industrial deafness has only been added in the last decade. Both my parents would have qualified for disablement benefit for that, but it was not recognised as an industrial disease until after their deaths.
I think that Byssinosis was more a problem in spinning (not weaving)- so the areas of Lancashire where that predominated may well have had claims.
The 'compen culture' that we have today wasn't widely publicised then - except amongst miners, who had a very strong trade union, which assisted and encouraged their claims.