I am afraid that is one of the long, loooong list of really good features that Roland never had the brains to realize when they had a good thing going..!
About the only way to approximate it would be to edit the style to mute certain drum sounds, save as another style, and switch to it on the fly while playing, either from the style selection folder on your stick (My Styles), or probably more conveniently, to make up extra Performances for each tune that call up the thinned out style (Tune no perc, Tune kick only, etc.)
In fairness to Roland, no other manufacturer adopted a similar system, so it seems that not having the brains to recognize a good feature isn’t an exclusive Roland fault! 😂
But it also illustrates that most issues CAN be worked around using the Performance system and a willingness to think outside the box. Given that we have 999 Performances available to play around with without loading in a different Perf. List, it’s quite possible to think in terms of three or four Performances per tune, just to make complex tasks that normally involve a lot of button pushing and scrolling into a one button push. Plus, you can always dedicate a couple of FC7 buttons to Perf. Up/Down and do it hands free…
We often marvel at how top pro organ players pull off quite elaborate arrangements while both hands and both feet are busy as bees, and the truth is, they mostly organize all the needed changes in registrations into a list and simply step through them one by one. Use the Performance List like this, and you too can pull off elaborate arrangements effortlessly!
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An arranger is just a tool. What matters is what you build with it..!