It does feel like the Bellingham saga indeed... But following Klopp would be big shoes to fill. When Shankly left, Paisley was there to step in from the boot room, but now the new boot room is gone with Kloppo. Any new manager would be a big gamble, even Rinus Michels and
Arrigo Sacchi in their prime. I can understand Alonso's take on this, if that was a big factor for him.
I think, as a minimum, the next coach should keep things steady while FSG reestablish the structure - recruitment and transfers, scouting, physios... We do lack in a few departments, especially the medical one. The club has very top players, but some would need replacement soon, some kids would need promotion. That, plus establishing a style (if different), should be the new manager's priority, IMO.