Or you can say based on previous crystalized situation, here and elsewhere he does the job.
In reality Dyche has what over 10 years and been relegated once and its hard man that judges him on that given the context of getting Burnley promoted that first year and going straight down - the toughest job in football is breaking that glass ceiling and making a Championship club a PL club - which he subsequently did. I know people like to say he's was relegated twice - but he wasn't. So on one hand you have 10+ on the other you have 1 - what's more likely to happen the 10 or the 1.
But going down the probability rabbit hole.
Let's look at certain stats at Burnley.
Let's analyse his points per session
40, 54, 40, 54, 39, 24 (sacked after 30)
Seco d season was his European qualification I e so a drop off of 14 points can be partly excused (although not sure how 6 games which effectively served as their pre season matches can have that much impact as they exited before the group stages), they rebounded the season after but then followed another 15 point drop followed by another 15 point drop (9 if you factor in ppg over 38)
So in analysing Dyche I'd say after a season were he exceeds expectation comes often a dramatic decline the next season - both good seasons at Burnley saw a 14+15 point drop the subsequent season.
Now on current points - assuming either we would have lost the derby or will lose today, either serves the function of the half point stage, after a season he achieved 48 points he is on target to achieve 34 - a 14 point drop off.
So looking at that then frankly no I'm not at all confident we will be fine with Dyche as he's showing this season a repeated pattern he already showed several times at Burnley.
Can go into the reason for this trend but the stats back up that it does exist with him, maybe player burnout from the training methods or fatigue at the system jading players, etc.