If you look at just my household

No, I won’t because anecdotal evidence is no statistic.

As I’ve already explained to you elsewhere, that’s not how this works. You are the one who made the claim. The burden is on you to provide a good backing for said claim. When people asked for that backing, you provided something that does not back up that claim. It’s not on anyone else to provide an alternative claim, as that would be a variation of attempting to shift the burden of proof.

Personally, I’m not sure if good enough data to provide an answer to everyone’s satisfaction exists. But that doesn’t mean we get to shortcut the process by claiming that a data set means something it doesn’t. Some other data that one could theoretically provide that would be of similar quality to what you’ve provided (that is, decent quality data that measures something related but cannot be reasonably extrapolated to verify or falsify your claim) include:

• Distro breakdowns from the Snap store (this would overrepresent distros with Snap preinstalled)
• Distro breakdowns from Flathub (this would overrepresent distros with Flatpak preinstalled and flathub preconfigured)
• Distro breakdowns from web statistics (this would underrepresent privacy-centric distros and hide the distro for people who, for example, use a flatpak of their browser)
• Cloud vendor distro breakdowns