This is my thinking about it.
Recall that the "old" Jacoby 2NT used to use the 4-level jump by opener to show a void, but the modern trend shows a 2nd 5 cd suit. It is also felt that 1st Rnd Ctrl in the splinter suit ( in essence a void) can be shown at the next bid.. eg:
1H - jac2NT!
3H! ( extras + Cl splinter ) - 3S! ( cue) or 3NT! ( "Serious NT" asking for cues)
4C!
BTW, I think you need to have this posted on the "mother board" ( General ). Many don't use this board but I think they would find your treatment very interesting.