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).
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