Can you play two different physical games at the same time with one Nintendo switch account?

Say Steve owns a Nintendo switch A and also owns a Nintendo switch B. (One of the other or both machines might be a lite, I don’t think it matters.)

Steve owns the physical cartridge of game G and Steve also owns the physical cartridge of game H.

(Completely different games. NO digital copies involved – physical cartridges for both G and H.)

Steve has one (and only one) paid Nintendo account.

Both machines A and B are logged in as Steve’s account (let’s say A is the "primary" if it matters).

Cartridge G is in machine A. Cartridge H is in machine B.

Both machines are 100% online and are never offline.

At 10:05AM Steve picks up machine A and starts playing game G on machine A.

Steve’s brother Bill is sitting next to Steve. At 10:06AM Bill picks up machine B and tries to play game H on machine B.

Is it possible to play two completely different physical cartridge games, at the same time, on two switches, both registered to the one Nintendo account?

This question is only about

• Switches that are both completely online always

• Games that are only physical cartridges

• same account, playing at the same time

Surprisingly I could not find the answer to this anywhere including Nintendo.

There are heaps of articles about sharing digital games; about cloud saving; about offline play; and other issues of "one account multiple machines", but not this simpler question.