Those executed programs measure storage.

'Measuring' is a human paradigm.

So is everything else related to computers. Humans made computers. Computers are a human paradigm.

No, many things related to 'computers' are determined by physics and chemistry. In any case, 'computer' is being used loosely (and poorly) here, which is why I have been putting it in single quotes. 'Computer' can mean many things.

If you look at register size, you'll believe that different processors use different 'bases', depending on whether they're 8-bit, 16-bit, 32-bit, or 64-bit...

And it just happens to be a coincidence those are all powers of 2?

There were also 12, 24, 36 and 48 bit computers. 32 Bit just won because of System/360.

I understand why we use binary, and the implications on processors, but I still think it is wrong to say: "Computers measure storage in base 2"

Almost all numbers inside computers are base 2 (for floats, the exponent and fraction are one such number each).

Base 10 is something that is primarily used for presentation to humans.

We all know this, this is HN....

Fine, the humans that use computers measure storage in base 2. What a pedantic hill to die on.