That's true.
The problem is when you try to explain why they're not the same, because it shows that you don't understand it properly yourself.
Maybe? MAYBE??? Surely you understand that linear measures (inches) and area measures (square inches) are fundamentally different.
But that's the whole problem. You didn't use 'square inch' when you should have.
For example:That's just nonsense. You've calculated the number of pixels per SQUARE inch (10k), and compared it with the number of dots per LINEAR inch.
For what it's worth most desktop computer monitors have resolutions of about 100 pixels per inch. That is far less than the 300 (approx) pixels per inch which most printers use, and it explains why images on monitors can appear pixellated if you look at them closely, but good prints don't.
Here's another example:No, no, NO! Whether you're talking about DPI or PPI, it's always a measure per linear inch, not per square inch.
Your reasoning about picolitres is flawed too. I could explain it if you're interested, but it's complicated.
However, to close:Absolutely true!