Soft Top Care

They are designed to withstand the elements, and there wont be any issues with taking it through the wash. I did find over time however that the top did lose some of its elasticity when it wasn't being used on a regular basis, making it difficult to get back on in the summer. But that was on a much older top, that was likely made out of different material .

better take care of it before it's starts to rot
there's a lot of protectant, cleaners and similar stuff like this https://www.amazon.co.uk/Autoglym-AG-255003-Convertible-Complete/dp/B005WIF4NI or this https://www.supagardshop.co.uk/supacabrio-fabric-cleaner-protector-pack/ or this https://www.carid.com/bestop/bestop-soft-tops-cleaner-1505558685.html
basycaly it's all about price and the brand u like

Cleaning a Jeep soft top is best done by hand. If you use the manual wash station at a carwash be sure to wash your top first. Start with the roof and then wash off the foam brush or wash rag thoroughly before moving on to the soft windows.