I have to admit that the Power Options in Windows 10 are so numerous (in the advanced settings, especially) that what each button does to wake the system can get unnecessarily complicated. (It's almost as bad as my grammar ... to complicated for my own good).
Odd that a shell extension on a backup app messed with Programs & Features! Haven't seen that before. Glad you figured that one out. Some "handy-dandy" apps make lots of changes to the shell (such as the Explorer extensions that are optional in Classic menu) ... but I'm still bewildered by the backup app getting involved in those. Never a dull moment, looks like.
_______________
The Midlands probably seem tropical now, huh :) ..... Just to make you feel better, the Valley cooled back down to its average winter temp - in the high 50s/lmid 60s F, with rain expected later tonight & tomorrow ... We don't see real snow here unless we go up to the local mountains (about an hours drive) - skiing is pretty nice up there. Looks like your local mountains have some good skiing too (probably a lot more snow, too). ... the reason the temps go up and down so much here in the Valley is that the natural habitat here is actually a semi-desert, with the large variations between night-time lows and day-time highs... an aqueduct from Northern California changed everything quite a bit as far as growing things & drinking water, but the climate isn't all that affected by a few reservoirs :) .... Cheers!
My PC still seems to be working OK, despite the corruptions thrown up by sfc / scannow & DISM. I'll leave removing them until the next major Windows 10 build / overwrite of the OS, unless it plays up operationally. As a Microsoft 'Insider' do you know when MS are likely to issue a new build? I expect they'll issue one by the end of their first year. (i.e. July 31st.)
Using Hibernate is practically identical (operator-wise) to using sleep when you want to leave your PC for a while. OK, it takes a few seconds longer to shuts down (but for a home user, that's not a problem - you just walk away and leave it to do it's 'thing') but coming back from hibernate is as quick as coming back from sleep - and (at least on my PC) you can do it with the left mouse button - just as you can with the sleep mode.
Re the shell problem: I found on another forum that quite a few people have had problems with the start-up context menu not responding on a left mouse button click - and the fix was to turn off one or more Shell extensions. I used cCleaner to look which programs had Shell extensions - I think SurDoc was the only one. To start with I just shut it off, but since I only have a small amount of free Cloud storage there, I shut the account down. (I have 250GB at JustCloud but I have to pay for that! At least their technical support is excellent.)
____________________
It snowed here again yesterday / last night and is only 2 degrees C. Our children / grandchildren go skiing - we're about 70 mins from the Glenshee ski centre. At our age, we prefer to keep our feet on non-slip ground! I guess if I'd lived here in my youth (rather than Coventry) I would have learnt to ski, but the Midlands is too far from any ski slopes for regular skiing. Re: Water in your part of the world, I think there are so many places (now) taking water out of the Colorado that by the time it reaches the Pacific Ocean it's only a dribble! Fortunately, we don't have that problem here. In fact, in recent weeks there has been too much water (rain) with roads & bridges getting washed away and a few people killed. The ground is saturated. On that cheerie note, I'll go and have a cuppa!