Really, the problem stems from the idea of wealth in general. To use a Communist structure like that would require eliminating the concept of non-tangible “wealth” entirely. Because otherwise you get the kind of incongruencies that you describe.
It’s hard though, right? Without wealth, how do you value the work of others? It used to be done by bartering. Or perhaps people did it because they were good at it, and didn’t mind helping out. People worked together.
Obviously this doesn’t fit in the modern era, when people generally work specifically to earn money, rather than for some general purpose. People probably aren’t going to want to do the job they already have in exchange for nothing but goodwill. They have to have a purpose. Our purpose in Capitalism (unless you are very lucky) is to earn Wealth so we can continue to exist, and as a guiding philosophy that does a decent enough job for most people.
All of my friends joke about going in together on buying some property and starting a commune. It’s a passing joke but in the back of our minds I think we’re all seriously considering it. Logistics is the only reason it hasn’t already happened