Remember the Diag Mode #9 is not there just to give a nice display !
According to some web sites "09Battery voltage. Should display 12.0 min, activate the "Engine Stop" switch to check."
It is just a nice display isn't it ?
Anyhow, a bit more research and this 68HC916 based ECU from Denso is very similar to the unit in the GSXR and the Kawa ZX12 Ninja, among lots of bikes of the same era..... Same processors, almost identical mosfet drives for injectors etc etc
They use mostly a small buck convertor or a linear voltage regulator to produce their 5V rail, which implies a dropout of a minimum of 2V. In theory they *should* work still at 7V, but probably not reliably so until 7.5V. As for the injectors firing at that voltage and the coils producing a thick spark I'm not so sure about that.
Just for the sake of confirmation bias (I) I googled 'gsxr cold start problem' and 'ZX12R cold start problem' and that was interesting !