I thought we’d already dismissed this as a bad idea?
Where is your proof that low bounce rate is the the reason for this? As I explained elsewhere, bounce rate cannot in itself be regarded as an indication of quality or otherwise; it needs to be taken in context with other factors. A visitor who finds exactly what they want on the first page they land on and leaves happy may register as a bounce, but is that in any way negative? Of course it isn’t.
A visitor who lands on a site, finds it has disabled their back button and closes the tab/browser in disgust is still a bounce, and as @m_hutley says, one who is unlikely ever to return.