IF we had got rid of Dyche before other teams sacked their managers, would he have been a target for any of them? Reality is, probably Southampton and Leicester would have considered him, and perhaps Wolves, as someone who could keep them up.
Survival is sadly currently the best we can hope for, and the new owners know it, so I think they will seek to stabilise many other aspects of the club and get a structure in place before considering a different manager, especially in terms of approach and style. Either way it is a short-term gamble, and I would have thought that from their perspective there is probably less longer-term risk in sticking with Dyche than making a change now.
Look at Leicester - they've made the change and no improvement, so what do they do now... sack RVN and try someone else???