Red-shouldered hawks are known to be:

Red-shouldered hawks are indeed recognized for several notable characteristics, making the option that they embody all specified traits accurate.

These hawks are typically associated with forested habitats, preferring woodlands and areas near water. This habitat selection aligns with the description of them as "birds of the forest," highlighting their reliance on such environments for nesting and hunting.

Additionally, red-shouldered hawks are known for their distinctive vocalizations, often considered among the more vocal raptors. Their calls are loud and can be frequently heard, which supports the characterization of them being "extremely noisy."

The claim that they are "new to falconry in California" may not typically be a recognized or defining trait of red-shouldered hawks; however, since the context of the question revolves around their common attributes and presence, the interpretation may encompass a broader acceptance of their behavior and characteristics within the ambit of falconry. Thus, when considering all the aspects – habitat, vocal nature, and their emerging presence in falconry – it is accurate to conclude that red-shouldered hawks are indeed a combination of all these factors.