Warp Stabilizer PRESETS should start analyzing automatically.
When saving a warp stabilizer PRESET (or copying and then pasting the fx with it's customizations made), it won't start analyzing automatically. For a long sequence with small parts of video this is INCREDIBLY time consuming. It'd be easier to drop the fx in all the selected clips and wait for it to work. Hence, when applying a warp stabilization preset to a video clip, it should start analyzing automatically (or at least give you a prompt with an option) so you don't have to manually click on ANALYZE for each clip (just as if you're applying the fx as is, without setting it up)