For your second point, do you say that you use Adobe or Windows?
I mean, you already know the answer to that. The point is that you don’t have to give the entire context of your computing environment every time you mention some product you use.
Linux is just the kernel.
It’s not only the kernel. It is also the name that people have settled on for differentiating the computer running the Linux kernel from a computer running Windows.
I love word ladders. Here’s one that I do every day, which even has a word ladder in the URL. https://wordwormdormdork.com/