Ten straight losses means nothing, it's your record at the end of the season.
And the team has improved since Hakstol took over, the 2015-16 playoff run was driven by hot goalies, this year by no goalies.
2015-16: CF% 50.63 (16), xGF/60 2.22 (15), xGA/60 2.28 (20), SV% 93.35 (2) - PK xGA/60 6.56 (12), GA/60 6.82 (18) 86.26 (21), PP 6.84 G/60 (10)
2016-17: CF% 51.09 (9), xGF/60 2.18 (19), xGA/60 2.24 (13), SV% 91.68 (26) - PK xGA/60 5.66 (2), GA/60 7.40 (20) 83.86 (28), PP 6.88 G/60 (15)
2017-18: CF% 49.79 (18), xGF/60 2.28 (21), xGA/60 2.24 (7), SV% 92.48 (12) - PK xGA/60 6.60 (4), GA/60 9.12 (29) 81.69 (31), PP 7.26 G/60 (17)
The only obvious trend is a steady improvement in xGA against, Flyers don't give up a lot of good scoring chances.
And this may explain why the goalies have much better S% 5x5 than the PK, the defense at even strength can protect them.
The raw numbers are impacted by the increase in scoring over the last three years.
Provorov, TK, Ghost and Patrick have improved under his watch.
The jury is out on Sanheim, and Laughton may simply be a player playing out of position.
I don't think any coach could do much with Leier, Cousins, Weal, Luby, Manning and Hagg.