Using personal preference or personal intuitions as priors instead of some objective measure along the lines of Solomonoff Induction

You can't do Solomonoff induction in real life. That by itself seems to be a good reason to look for something else.

As to objective/subjective priors, note that the classic Bayesian understanding of probability is as "subjective belief" which is what drives frequentists hopping mad. If you accept this concept of probability then there shouldn't be any problem with using subjective (="personal") priors.