Let's ignore for the moment that you can put Linux on a Chromebook, which does run Linux kernel after all.
You basically restated what I just said. If I buy a "laptop", I expect it to be a general-purpose computer. At the very least, it should run a general purpose OS like Windows. With some luck, you can make it run a different general-purpose OS. If I buy a Chromebook, I expect it to run Chrome. It's in the name: Chrome-book. I have no expectation that it should be a general purpose computer, and any ability to load a general purpose OS on it is pure gravy.
It sounds like you are in the market for a general purpose computer. Don't buy a Chromebook.