Infrastructure sure is not well done but the electricity bit is not true at least from what I have seen.
If you are in a city like New Delhi/Mumbai, most homes/hotels do have reliable power. For rare cuts most have power through power backups.
If you visit remote places, it is definitely worse. They have electrified a lot of places, but power is absent most of the times in the day. Some people rely on solar powered batteries for basic electrification at night. I have never seen a powerline burning though.
In cities there are internet providers which do better than others, so it might have been your luck with some bad provider; but they are not even present in remote places.
LTE based mobile internet has coverage problem in cities with pockets that get bad coverage, otherwise the provider 'Airtel' that I have used while traveling does seem to perform well in cities. Remote places have no coverage from LTE providers as well.
I was working remotely so I needed reliable electricity and Internet. I had problems with both in every city I visited (and I visited many, from New Delhi to Kanyakumari.
Also, while traveling between cities on my motorcycle, I frequently saw powerlines burning or electrical poles burning in rural areas. Something I've never ever seen in any other country.
Only in Nepal the situation with both is worse.