Earlier quoted context omitted.
most services require some material goods associated with the service. Even if wages aren't raised, those materials would cause prices to rise.
The vast majority of "services" in the US are healthcare, food services, technology, and financial services. Aside from cloud hardware, the impact on the rest due to supply constraints from China has been extremely minimal. Very little food comes from China. Almost 0 energy. And financing costs are 100% set by the Fed. China plays a very small part in the US inflation story.
with the exception of financial services, all of the other services you listed require commodity materials to work - things like food services require utensils, plates, napkins, not to mention the food. Healthcare has a lot of materials (not just the direct, but indirect materials like reagents for labs and diagnostics) which often come from overseas rather than locally produced.
As for technology, it's such a broad area that i dont know what to say about it but at least for compute, there's a lot of shortages of commodity hardware recently.
Not saying that all of the shrinkage and inflation is caused by the supply chain slowdown from china, but a large percentage of it is. The rest is from labour shortages.