Being an analyst has nothing directly to do with degree credentials; it reflects that the person has trained at an analytic institute. Analysts can hold the PhD, PsyD, MD, MSW, etc--or no credential at all, though this is less common.

It has become more common for psychiatrists to focus on meds rather than therapy simply because of insurance reimbursement and the greater market; there are also some regional differences in market.

There are multiple "tracks" of PhD work, and some emphasize testing--clinical psych work--and some emphasize psych theory and practice--counseling psych work. Different graduate programs also have different emphases.

What is more important to me is the origin of the credential, the level of experience, and the degree of professional involvement. I do have a preference for more advanced degrees, all else being equal, and look for additional certifications as indications of professional responsibility, like board certification. I do the same with other professionals I consult.