Hair Styling Products - Asthma trigger

Hello all, my 4 year old daughther has had a lot of respiratory problems the last 6 to 9 months (Acute Bronchitis) and may or may not have Asthma, she has been to specialists and the hospital many times and we need to wait a little longer to see if it is Asthma or not.

She has no allergens (all tests done) but my wife has a strong belief that my hair styling product may be a trigger, I think this is a red herring and she is barking up the wrong tree, but need to investigate further. Its been difficult as she has had a on off cough since November 21.

The product I use is the below:

https://www.superdrug.com/Hair/Hair-Styling/Hair-Clay/got2b-iStylers-Texture-Clay-75ml/p/391950

Its readily available from pretty much everywhere. I was just wondering is there any evidence to suggest that hair gel/paste (not bleach or hairspray) could worsen or even trigger the condition?

Unfortunately, I have the sort of hair that requires product in it, I tried a specialist Ashma product from Olsson but it is greasy waxy awful stuff so can't really use that.

Essentially I am trying to ascertain someone who either has experience or knowledge of whether a hair product can affect my daughter really.

There doesn't seem to be any Ashma approved hair styling products other than Olsson, so that brings me to point in the direction that maybe this isn't a common belief that hair styling products like this can affect the condition. But I would love to get people's thoughts on this.

Thanks

Lee