Our TVs are switched off overnight, the PVR is left one (we don't have Sky or cable). All the PC kit, including router, is switched off overnight (and when we're out for a while). The microwave and oven are left on, if only to avoid having to reset the blinking clocks every time. Most people I know who I help with their computer problems switch off their PC kit when they've finished with it. Many of them using a BT line for broadband have USB modems. I know of only one person who leaves their router on all the time, but that's for his internet radio.
I don't believe it's possible to say that 'most' people do this or 'most' people do that. In general we can only go by those we know or have dealings with and, in many cases, they may well have similar habits and views to ourselves.
This is true
The majority of my friends and neighbors have their routers either on the tv stand in the living room or in the hallway.
They also have families with often 2 or more children who use the Internet at strange hours should we say
Their computers and laptops are then wireless
The desktop is turned off but the routers left ticking by
the more techy friends of mine prefer having a wired connection as its usually faster. So their routers are on their desktop desk & I assume are turned off with the pc
I do not know anybody with a modem personally.
It's like in my household if I turned the router off somebody would turn it back on within 30 minutes.
& nobody in my house turns anything off so I've given up trying
So yes every situation is different
If I lived alone I might be able to save a little on that electric bill!