Long, pointy bullets with plastic tips / hollow points are base heavy. They can be stabilized in flight through air in the traditional way.

However, there are ALWAYS "imperfections" in any bullet. These will produce tiny deviations from a perfectly smooth trajectory. Furthermore, such long, rear-biased bullets take LONGER to "settle down" in flight than shorter, denser, flat-based bullets. At "short" ranges they have a tendency to upset during the transition from air to big, warm, wet targets, like deer. If a bullet strikes bone on the way in, it will definitely become distorted and thus erratic in its further travel.

The front of a JHP is quite thin and thus subject to this distortion on impact. This will start to alter the rotational behaviour of the bullet. Bear in mind that we are talking about rotational speeds of thousands of revolutions per SECOND. Your basic wood-working router runs at something like thirty thousand revs per MINUTE; 500 per second. However, a router bit is (hopefully) not also traveling forward at a couple of thousand feet per SECOND, unlike a bullet. There is a huge amount of energy in the forward AND rotational speeds of a bullet.

The catch is that in the stability stakes, rotational speed is the prime factor. Thus, to achieve minimal stabilization, the bullet has a "minimum" spin rate that will keep it pointed at the target. A bullet is a "wrongly designed" gyroscope. You can go with a slow twist and outrageous velocity or a very fast twist and low velocity. As in most of the rest of engineering, there are limits on the variables and I am leaving gravity out of it for the moment.