I doubt Feedburner will ever be shut down (by Google at least). The backlash that Google will suffer can not be worth the savings they will receive by shutting it down. It will remain a tax on a bad acquisition decision and it'll continue on with the bare minimum of maintenance.
Maybe Google will "sell" the service to a lesser known company who will let the service die after a while. They could also spin it off with a seed fund of its own and allow it to die if it can't be profitable. This method might allow Google to get away with killing the service and take so much of the blame.
Good point. I was more cynical but maybe they could allow the acquiring company to integrate account data into their service rather than a transfer of software.
Maybe Google will "sell" the service to a lesser known company who will let the service die after a while. They could also spin it off with a seed fund of its own and allow it to die if it can't be profitable. This method might allow Google to get away with killing the service and take so much of the blame.