Catrin is right about not letting platform pedals be a deterrent to getting a good fitting. Most really good fitters are adept at fitting everyone from casual cyclists to elite racers. They'll take your preferences into consideration, (like platform pedals), & make recommendations. If you don't want to use some of their recommendations, they'll work with you to get you as comfortable as possible with your preferred equipment.

In my experience, I went to two fitters that I perceived to focus on recreational cyclists. I avoided the fitter with the national reputation thinking that he worked only with elite cyclists, (and he was expensive!). It turned out that neither of the first two fitters were able to resolve my problems. The fitter with the national reputation was happy to work with this recreational cyclist & knew exactly what to do resolve my long standing issues.

It turned out that I wasted my money on the first two fits. I would have saved money and been more comfortable on my bike right from the beginning had I just gone to the guy with the national reputation first.