Cell phones alone torpedo a bunch of the plot points necessary to make the original Home Alone work, and then there's the internet...
You know a rich as fuck family like that would have smart home stuff everywhere
Power outage takes away the internet. They could do Home Alone like this:
Set up similar to the original movie. Parents don't realize they left Kevin behind until they're already on a plane/at their destination. Make their destination in another country if you have to to make it a longer turn around.
They call Kevin. "Kevin where are you you little shit!!" "Mom I'm home alone" "Fucking hell why did I have so many kids I'll be on the next flight to come get you"
Power goes out, downed phone line. Kevin's cell battery dies while talking to his mom or ordering a pizza or playing Disney TsumTsum and he can't charge it.
He is now cutoff again while his parents race to get back to him. It's effectively the same exact plot as the first movie only this time Kevin knows his parents are coming back which doesn't actually change anything because he's still 1) home alone 2) cut off from phone/internet 3) defending the house against burglars while his unknowing parents race back to get him.
Burglars attack the house and he has to hold down the fort until his folks return, can't call the cops because his phone battery died.
The majority of the first movie takes place at night anyway so the only thing that would be different is he has to light candles, leading to some kind of fire hijink trap.
He can watch the movie on his iPad connected to his Beats bluetooth speaker to make the crooks think he has the tommy gun.
Edit: Yeah as someone above me said throw in a blizzard or something as the reason for the power/phones and no police. Hell the crooks could even cut the power/phones themselves while they're trying to hit their marks, either way, storm makes it so they can't be repaired right away.