Most programming (simple tasks, scripting data analysis, most common web apps, basic automation) is about as difficult as doing your own plumbing (which likely includes fixing a faucet or doing other minor tasks around the house). But just like in any profession, the "professionals" are able to handle the complex tasks that others can't/don't want to do. For plumbers that means building the whole home systems to maintain proper pressure/temperature at every outlet, suitable for whatever climate the home is built in, or in commercial settings where the systems are much larger and more complicated.

Ask a professional plumber which they find more taxing: being bent into awkward spaces on their hands and knees all day, or sitting at a desk thinking hard about a problem someone has likely already solved.

I'm an infrastructure engineer working at a government contractor and I'm in a union with OPEIU 1010, the tech workers' local. Others are unionizing independently, with CWA, etc.. It's still early days for the tech industry but there are examples. We're really not that different from other industries with a larger union presence.