Ratio wise, you do realise the difference between dollars and cents and. sats and bitcoin? In the whole wide financial world, do we have a word for 100 million of something for which there exists a common word for just1 of that something? Or even 10 million? Or even 1 million? There is a reason all such word pairs fall under a certain ratio. 1:100 is well within limit, 1:100,000,000 is absurd.

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lol I just gave you the example with Angstroem and Meter. (Ratio of 1:10,000,000,000) You can call MegaSats, KiloSats, just like there is milliSats in lightning. And if you are worried by 8 zeroes instead of 9, go study eastern culture where they use Lakhs and Crores with even spaces (2 units). Stop shoving your naive take.
Basically the Sats-Bitcoin word pair is not a functional word pair in any sort of concrete retail sense. It's a theoretical word pair that will dissolve on contact with the real world. Sats will be all that's needed in a retail context, there is nothing the word Sats will need from the word Bitcoin. So not a pair.