Assuming Jersey and Spring qualify as frameworks and the problem is building web services it's hard to see the argument against using them. It takes about 15 minutes from a standing start with Maven and Eclipse to build a simple web service using Spring. Frankly unless you are writing the framework itself I don't know why most people would want to deal with issues like marshaling and demarshaling HTTP requests, let alone ensuring consistent adherence to REST conventions. Life's too short to spend very much of it dealing with wire protocols or worrying about low-level libraries that handle these problems.

The argument for frameworks gets even stronger when you start to consider cross-cutting issues like security where there's a substantial penalty if you get things wrong.