So I would definitely take that bet against you.
One of the issues is that Gantt charts don't explicitly including rests as symbols. In standard notation everything adds up to the bar length including the rests.
They also fail a bit when it comes to showing discernable short notes and long notes in the same passage of music. That's fine in a DAW because you can zoom in and out but you can't really do that as you're playing.
Finally, learning the basics of musical notation ain't that hard. If it was we would have replaced it already.
Think about this way, computer based sequencing with Gantt charts has been common since at least the Atari ST. People know about it and they use it on a computer.
But they still don't want it for paper. Ask yourself why?
Do you really think it's because everyone is just stupid and old fashioned or could it be something else maybe?
I would bet that your clever "genz/genalpha/ gen++" would be more likely to introduce better teaching system than establish replacement for musical notation.