Just a thought. I wish there was more leeway on playing with the timing within a bar. If the beats per measure where higher than 4, say 8 or 16, it would provide more leeway for making timing adjustments. That would be great. Thanks.

http://www.nortonmusic.com/

This site has styles that will allow up to 8 chords per measure. Many BIAB users have used Bob's styles.

You can run RapidComposer in Biab as a vst, it will give you as many chord changes per bar as you like, but I have enough trouble playing 2 chords per bar.
You can load the RealCharts into RapidComposer ,use Sforzando and they will automatically change with the chord changes.
In the pic below they are just held chords.

I agree with StrumBum. Playing a chord on an 1/8 or 1/16 of a beat should be the norm.

Many years ago a program called Jammer allowed chord inputs at 1/8 or 1/16 of a beat. Jammer is not longer updated but it was ahead of BiaB at the time.

https://ccm.net/download/download-12111-jammer-professional

Note Jammer was/is only for MIDI as MIDI was the only available at that time. Today BiaB has more MIDI styles as well as RTs but inputting chords on the 1/8 or 1/16 of a beat should be the norm.

I agree. If you have the lead sheet for a jazz tune or a song in 6/8 or 12/8 and a chords is ment to be played on the and of a bar, it should be allowed. The push function does not help at all.