I'm really unhappy that Homebrew twists user's arms to update to the latest version of OSX. I'm glad that I waited a year before I updated to High Sierra, seeing as how there were APFS file corruption bugs, and a default root login bug!
We need to stop being so enamored with Apple, and treat them with the same skepticism as Microsoft.
Several people in my office have been bitten by the Mojave bug and are now regretting it. You should wait at least six months to update OSX.
I'm not sure what you're talking about. I used Homebrew quite successfully this past summer on 10.7.5 - the only problem was that a few formulae weren't available for it. I've since upgraded that machine to El Capitan and Homebrew still works great and I haven't found anything that doesn't work, including CUDA.