Lack of battles? you can fight around 70 or so in your Hood every single day. non-stop. If you bother to do PvP you can add i another two dozen a day without spending anything. and if willing to spend a few Medals, at least 50 a day.
If yo are in a Space Age, you can fight the Space Ore deposit collections.
If you bother to plan it out, you can fight in Continental Map on the 'no fights' in GE or GbG days.
You can fight anytime in GvG. (True you need to be playing on PC to do so. It is also true most fighting takes place at one brief time-span, but that is not a game limited thing.)
As for problems fighting in GE.. that is entirely lack of pre-planning and 'moving up too soon" and not gaining enough attack boost to get through level 4 easily before you moved up to the next level.
In the past two yearsI have never had any problem doing the new level GE 4 autobattle mainly because I made sure I could fight through he previous Era GE4 easily (before then i may have been too stupid to do so? LOL)