One does not have to argue for that interpretation - raising the temperature to boiling point, not boiling it dry, is indisputably the accepted and intended meaning of the phrase wherever English is spoken... though it would fit with a certain stereotype of scientists if a bunch of plasma physicists did not know how to make a pot of tea!
Not exactly. In American English "bring a pot to a boil" is much more common. When I read "enough energy to boil 60 kettles of water" I thought "vaporize".
Disagree that this is a) a much more common phrasing or b) that your interpretation would be the common one. I've yet to run into a situation where somebody asked me to "boil some water" and intended for me to vaporize all the water in some vessel.
It's also an incredible waste of time to argue over definitions. They're always disputable because they always arise in response to two people using a word differently. Maybe they're wrong and you're right, or maybe others also use the word that way—it doesn't matter. Humility and aiming at mutual understanding is far more worthwhile.
Here, as soon as someone recognizes that the amount of energy cited is way higher or lower than would be implied by their own definition, they should 1) identify the difference ("Boil here means 'boil n kettles dry' rather than 'bring n kettles to boil'") and 2) in most cases, avoid the wasted debate by adopting the other person's language if further conversation using the concept is needed.
In the light of this, what is your objection to my comment? As far as I can tell, it is in conformance with your numbered principles.
This is missing the heat of vaporization[1] needed to actually boil the water though, i.e. to turn 100C liquid water to 100C steam. That's another 2250kJ/kg on top of the 313.8kJ/kg you've mentioned.
It's why steam is such a great carrier of energy for industrial applications.
I guess you could argue that you wouldn't evaporate all water in the kettle, but then you do want a rolling boil. It's probably a bit up for discussion at which point you'd stop heating the kettle.
[1] https://en.wikipedia.org/wiki/Enthalpy_of_vaporization