This advice about binoculars had been obsoleted by cheap, good, chinese telescopes. (Ans pretty much every commercial telescope is chinese-made, these days)
The advice came about after WW2 when there was a good supply of army surplus gear at very attractive prices. At the same time any amateur telescope was both expensive (being essentially hand made) and with poor quality optics and even worse mechanicals. The eyepieces sucked and the mountings available were completely rubbish.
In those days, an "expensive" pair of binoculars would cost about £30 (UK currency - I don't know what that translates to in other currencies at the time). However that was roughly 2 - 3 weeks pay (before deductions) for a shop worker or junior office employee. Obviously at the the time, astronomy was a rich mans' game - and it was almost all men.
With binoculars you are paying twice for the optics (one for each eye). Unless you go for top-end gear, you have fixed eyepieces that will only give a wide field of view - and them, you have to buy additional eyepeices in pairs. You also don't get any sort of mount - and a standard photographic tripod is unsuitable as you need to have the binoculars at eye height, or higher, in order to look upwards - a configuration that tripods are not designed for since you'd be standing too close. Without a mount, small arms will soon get tired of holding them at raised heights and you can't easily "star hop" to targets when you are a complete newbie. So using them is both frustrating and tiring.
By all means buy a pair of binoculars (I have 3), but you'll also need a parallelogram mount - another 200 USD or more. You will also have to set their focus for each user, which means they will be nudged off target. Also you will only be able to see big things like The Moon. Planets will be too small to please with binoculars' low magnification and most dim astronomical targets will still be too dim to appreciate - just on the verge of vision: more "detecting" them than "observing" them - a turn off to kids used to seeing Hubble-like images.
So binoculars are a bad idea to start with. One that is handed down due to ignorance and repetition without any consideration for why the advice was once helpful. They are no longer any match for a small, cheap, telescope on a proper mount.