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I guess so!
Maybe the web site is named after the theory.

https://en.wikipedia.org/wiki/F(R)_gravity
From the references I see 1970 (probably earlier!) so its pre-Internet. So in this chicken egg case the proposed theory came first not the web site.

There are a lot of them, all trying to do a better job then Einstein. (Einstein took some shots at trying to replace his theories.) Done to resolve “perceived problems” with the original. And the “problem list” changes as we measure more understand more etc., that’s called doing science! So far Einstein’s special & general relativity explains the most and hasn’t failed the attempts at testing it. (Which are done not infrequently!)

Theories come & go, rarely is a theory completely refuted. Usually its subsumed by a larger more complete theory that covers a wider section of the knowledge domain. (Which is dynamic too!).This larger theory will in turn be subsumed by a still larger one, ad infinitum. Closed bodies of “knowledge” are dogma not science.