Depends upon the material used and a range of other factors that haven’t been mentioned. If both types are made by the same manufacturer of similar quality construction so that you’re comparing apples with apples, then there’s likely little difference between the two.

Another manufacturer may use veneered mdf or plywood for a flat panel on a Shaker or mitered rail and stile door. I've seen that fail for light finished maple.

Same manufacturer and cost.

Better have good humidity control. Solid wood panels tend to swell and shrink quite a bit with the waxing and waning humidity of the seasons.

Finally, badgergal! Someone else knows what a reverse raised panel is!
I've been offering these since the '80s when a designer asked if I could just hang the doors inside out because he liked the simpler back side detail better...
A great look, and solid wood to boot!

You only think it doesn’t move. All wood moves with the changing humidity. That’s governed by science, not opinion.

http://www.thisiscarpentry.com/2010/09/03/moisture-content-wood-movement/

In a very dry winter, a solid panel can shrink by 1/4”. That can show the unstained edges in doors that are stained after assembly. It’s known as the halo effect.

I guess we have good humity control in our house. Haven't seen that halo effect with my cabinets.

what cabinets do you suggest Sophie wheeler? for a shaker style wood cabinet.

Good panel stained doors are finished and constructed with a flexible spacer inside the groove/dado that holds the panel to allow some movement. This has all been figured out within the industry for eons. Mahogany and walnut move much less than some other woods. That's why you see 18th century cabinetry in those woods.

I agree about walnut and I have no idea why you would want to stain cherry a dark brown when it is a beautiful wood left natural you could have gone with a cheaper wood if you are going brown anyway.

Thank you all for your thoughts. We are going w a light brown stain - love the grains of cherry. Also, I read that sometimes maple don't take ht stains well. So much to think about - ha! But we don't want to do this twice! That's for sure.

I didn't read all the comments, but one of the main reasons to use a reverse raised panel door is that the entire panel and door will be wood and it will fade along with the rest of the door....important if using a wood finish....and in an area exposed to sunlight....but all wood finishes will fade over time!

We love the reverse raised panel shaker style door. Feels really solid vs just a plain shaker style door. We have finalized that we will go with a painted white upper cabinets shaker style and base cabinets in a grayish stain either in maple or cherry. Now debating if we should go for reverse raised for all cabinets or just for the base cabinets or not at all. We don’t have direct sunlight in the kitchen but there is a window. Any suggestions/recommendations?