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@tynan
HELL YEAH !!!!!
I have spent years trying to explain to people that a computer file has no resolution or size only an absolute pixel count. You can of course call it 300ppi (not 'dpi) if you wish - which then imposes a 'size' on it if (and only if) it is printed at that resolution.
Like you say, In Ed's example ("2000x2000 @300dpi") you can jettison the '300dpi' part as it is meaningless - by way of an illustration you could, if you want, call that same file "2000x2000 @ 5ppi" or "2000x2000 @ 60,000ppi" - it makes no difference to the file size, resolution or pixel count, it's still the identical 2000 x 2000 pixel file and it still has no 'size'.
[/shameless pedantry]