Not really. It's entirely possible to pick and choose. We chose a socialist model for fire department because the capitalist model proved disastrous. Many countries successfully did the same for healthcare, retirement, and all sorts of things. At the same time, capitalism is great when you want a million choices on TV to watch or a grocery store with a whole aisle of different types of cookies.
To me, the difference is the impact of failures. If someone starts a company making a new type of cookie and it proves not to be profitable, it goes bankrupt. Unfortunate, but ultimately not a big deal. If someone has cancer and curing them isn't profitable, you can't just give up. That person's life is more important than profit.
If the essentials of life are all shifted to "welfare capitalism" the power of class and capital to subjugate is greatly diminished. Add in mass union membership and it gets even better.