What problems have you heard about solar?
I have just done a quick search and found that atomic and solar tend to be twinned, like bacon and eggs. The advantage of solar is that you won't be facing a dead battery in a couple of years with two choices - entrust the change to a dealer or the manufacturer which is a costly process and
has been known to go disastrously wrong or do it yourself which is easy enough on a normal G-Shock with the right tools but I'm not so certain on doing it on an atomic with its flimsy aerial.
Solar needs light to remain charged and has an indicator to show level of charge. Unless you are a night worker who always wears long sleeved shirts and never looks at the watch to check time or charge level then keeping the battery at medium or high isn't a difficulty. A couple of sunny summer days wearing the watch with T or short sleeved shirts will give enough of a charge to see you through a British winter with the watch hidden under several layers of clothing.
You can, with a couple of modifications,
set up a solar to use a normal CR-2016 battery if you really want - should you find a second-hand watch with problems for instance.
And thanks for giving me an excuse to go trawling around sales sites - yet more watches added to my wish list! :ambivalence: