Stiff and theatrical are better descriptors. Or mannered and a bit stilted.

I've only seen Breathless and A Band Apart. My sense is that Godard played a big part in transforming cinema from mannered to free-form. But I'd caution against framing that transition in terms of quality. Lots of stiff, theatrical movies are excellent, many of them have really good camerawork, and Godard certainly didn't invent moral ambiguity.

I don't think OP is framing it in terms of quality. Just a different style of filmmaking. A change. Whether the change is for the better - different story!

That's also due to the fact that it's a classical chamber play. I'd say a "theatrical" feel was definitely intended.