In retrospect MY first computer, not my parents or school computer, was not a desktop but rather a pocket calculator that I needed for mathematics.

When I noticed I could program on it it definitely expanded my horizon. I was not bound to a desk though and I programmed anywhere. It was a very excited feeling, still is. It does NOT mean being available 24/7 for others though.

FWIW I do also have a computer room with a tower desktop. It's very convenient. I'm not convinced I do my best thinking there. It's mostly convenient to execute, to drill. The actual thinking though happens anywhere, I don't really get to decide where and when.