However, warp stabilizer imagines that it's the object which should be stabilized, meaning that once the effect is applied, it's the background which is now moving relative to the object.
What should be still, on the other hand, is the background: a field and some trees which are far enough from the camera for the wind effects to be noticeable. In one scene, the primary object-a flower-is shaking under the effect of the wind: this movement is expected. In order to remove the shake, I'm using warp stabilizer effect in Adobe Premiere Pro, which works very well. Due to the specific circumstances, the camera is shaking a little when taking the time lapse photos, which is slightly noticeable in the video.