Well yes. Debian, Ubuntu, SuSE, etc are the names of the OS distributions.
When I'm generalizing based on the stack people expect, I usually say Linux when I mean the common Glibc, GCC (maybe CLang), and GNU utils with a Linux kernel setup people expect to find normally (and I'm usually excluding Android saying that), or I say that it's UNIX variant when I want to include Mac and BSD or any other generic POSIX complaint OS.
It's like Pop vs Soda vs Coke. I prefer to call everything Coke. http://www.popvssoda.com/