I've said from day 1 that Dyche's job this season is to keep us up with as many games to spare as possible. If not for the points deductions, we'd be sat on 38 points and mathematically safe with 5 games still to play. Even with the points deductions we're more than likely going to stay up. Job done.
I've seen a lot spoken about the current bottom 3 being the worst ever, and there are stronger teams coming up next season. Now, that may be true, but the last time a team on 38 points would have been relegated is all the way back in the 2010/2011 season, when the bottom looked like this:
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So a 'stronger bottom 3' certainly doesn't automatically mean we're done for next season. We stayed up last season on 36 when the bottom 3 (on paper at least) seemed stronger than those now.
For what it's worth, given the 'noise' surrounding this season, I think he's done/is doing a good job. A Sean Dyche Everton is not an Everton I want to see, but I'll give him credit for keeping a club that is in the hideous state we are currently in at least relatively stable from a footballing point of view. We've gained a lot of points from the teams in and around us and nicked the odd one or two from those positioned higher up the table... Over the years, how often have we lamented dropping points in games we 'should' be winning? For the most part, Dyche has managed that.
I don't think he's going anywhere unless our ownership situation is sorted out.