I really second this!
Right now I have the impression that everything you are doing on the strategic map is easily outdone on the RTS map. So why bother about purchasing expensive units or doing research on the strategic map if this is very very cheap and fast achieved on the RTS map? I had to struggle a little bit at the beginng with the fast pace of the game, but after learning the shortcuts by heart (and being able to slow down the pace of the game in the options, thank you very much for this!) it is very easy to win each combat (against AI) by just spamming units. So, there is sadly no need for any sophisticated strategy at all... It does not even matter how many units you have at the beginning since you can produce really masses of them in no time...
And about the possibility of research on the RTS map... Is it not the idea of the game that you need to think about a strategy und wisely upgrade your units in order to win the game? So, why then enable the research on the RTS map? Right now, every upgrade you have made can be easily outdone by your opponent on the RTS map, and this is in my opinion really frustrating. So, if there is no research ability on the RTS map, then you might encounter an upgrade by your opponent which you can not counter and loose one battle... But is this not the point of a strategic planning ahead? And even if you loose you can research an upgrade for the next turn so that you are not unprepared during the next battle to come. Please, think about the possibility of at least limiting the research possibilities on the RTS map (say just 2 upgrades may be researched during the combat) so that your decisions on the strategic map gain in importance!