https://www.myownfreehost.net advertises that you can basically do your own Infinity Free at a cost of a domain name only.
I do believe that hosting services like Hyper PHP, ByetHost and FreeHost uses the same VPanel, same limits. The only difference I can see is the popularity, ratings and naming.
Does Infinity Free is created on MyOwnFreeHost? at it exists 14 years ago, according to the main page.
I was surprised that IfastNet have their own free reseller service. But on all of them, Infinity Free is the one that I like because of always updated website, dashboard mobile usability and popularity.