Joseph Felsenstein is a pioneer in the use of maximum likelihood methods in evolutionary biology. In his book, "Inferring Phylogenies", he has a chapter on Bayesian methods, and a section in that chapter on controversies over Bayesian inference. He discusses a toy example of a space probe to Mars which looks for little green men and doesn't find them. He wonders whether a scientist whose prior for little green men involved odds of 1/4, and who, based on the evidence of the space probe, now assigns odds of 1/12, should publish those revised odds. He writes:

It might be argued that the correct thing to do in such a case is to publish the likelihood ratio 1/3 and let the reader provide their own prior. This is the likelihoodist position. A Bayesian is defined, not by using a prior, but by being willing to use a controversial prior.

Felsenstein apparently defines himself as a "likelihoodist" rather than a "frequentist" or "Bayesian".