My experience supports that - on public transit alone our family saved more than 5k USD last year, it would’ve more than made up for any equipment I would’ve had to buy (turned out though that I already had everything needed to work from home).

because of remote work, I have to heat the house 7 days per week, instead of about 0.25*5+2=3.25 => that's about twice as much. Given the rise in energy cost, this will have a huge impact.

At the same time that is largely a problem of the colder areas. In more sane (temperature wise) places, that energy cost is negligible.

Also, that assumes you are the only one (or the other person (s) in the house have very similar schedules) in the house. An assumption which if you have a house wife and a few kids, is largely invalid