So on iOS I had no issues with the PWA when cloudflare was on.
With android though, I couldn't get the PWA to install - the system refused to recognize that a PWA was available until cloudflare was turned off. (I checked with Lighthouse and the report couldn't run to determine PWA compliance.)
I'm assuming I could install your app regardless of the status of cloudflare usage. So for that along it would have made a big difference.