And if a bass is to busy, just find one in another style or variation thats simpler..
. 
We can of course  always mute or edit or rewrite Acc tracks. It’s a given. The topic/ discussion here  is style comparison and usefulness having simpler/ generic style pool in   your arranger for singing  arranger player/ and taking advantage of it (which will benefit  arranger players)  who needs to create quick backing tracks/finish songs in tight time line without major editing of the basic frame of the song ( of course signature intros/ solos, etc will be done later on that framework).
There will be always exceptions such as a player who always use edited/rewritten  10 styles for 80% of his arranger set ( which exclude Mp3/SMF or sequence play.
“Busy” here didn’t mean all ACC tracks are played. It means ACC
 tracks/ bass and drum tracks fills are over complicated/over played with unnecessary licks / comps in between, complex drum fills that a normal drummer rarely uses for that style, etc.
Issue with a busy style and why muting tracks not always work
——————————————————————————————-
Most us will of course not use factory style without adjusting levels/ tones/ mute tracks  to get the style that fit your playing.But if the factory style is busy / over played / has over complicated bass lines , muting will not work   unless you rewrite the lines of that style.
See below example which is very common.
Most of the time you do need all 4 ( minimum 3) variations to be applicable to modern songs that are not just your verse and chorus. Your variation 1 with ACC1 open and ACC 2 muted may sound Ok but when you progress to variation 3 , that ACC 1 becomes unnaturally/ annoyingly  super busy ( like a song style) ; ie as if they are playing short licks at the end of the measure) may become unacceptable to use that style.Muting will not work because you need that ongoing simple AC 1 to continue where you need both hands after triggering the chord ( meaning using joy stick or wheels for a expressive GTR/SAX/ Synth) solo while style is ongoing. 
If the bass line gets unnaturally busier/ overplayed in Acc 3 or 4, the style will become unusable.
There will be work around and partial solutions such as using sequenced Pads or chord sequencer ( if your unit has  it), but they always lacks simplicity/ defeats the purpose  ( getting in the way of music making) and spontaneity/natural flow. Why not fix the main problem instead of creating partial solutions that may or may not work 50% depending on how busy/ overplayed  the original style is. 
Starting from PA3x , styles with 8/16 gets better  but not quite there yet. Big chunk  of the style pool still carry  legacy/ PA80 flavor of ACC busy- ness.
Again, the issue here is only when you to use arranger styles in your live gig or when you  create backing tracks. Having  more /abundant generic styles are invaluable asset. Styles that are over played, busy, recognizable yet unusable in your face bass lines , complex fills and unorthodox or song specific related comping / stabs are liabilities ( just taking the space because your rarely or never use them).
The only way out/ solution for most players  ( including some of us here) is to mute all ACC tracks , Use LH for bass ( if the bass track is busy), use piano or Ep for RH. ( basically using arranger as drum machine with 4 variations and fills), which is great (  but  defeats the purpose of the style play arranger function ; mainly due to over orchestration that can not be selectively muted as in given example ).
Like I mentioned before, If Korg can tackle this issue ( by going back to drawing board and find out  why more generic less busy styles works for Yamaha and they are in demand by users always asking for Yamaha styles to Korg conversions which is not the other way around in general   ). Korg can get bigger western market ( since they already have great features as editing power/ better seq and other things that I mentioned). They have improved some what but they need total revision for Pre 3x style banks ( which carried over to 4x, 1000 & 700) with very few exceptions.