The rifles with the spiral in the magazine tubes are the Remington 14 and 141 pumps. One of my Dad's hunting buddies had one, in .30 Remington. They can be found in .25, .30. 32 Rem, and maybe .35 Rem.
They did use pointed bullets, but there were "grooves" (looking at the outside) pressed into the magazine tube, so that the rounds didn't line up bullet to primer in the tube. And just for the reason stated, safety.
Most don't realize it, but the rounds in a tube magazine actually bounce back and forth during firing. Recoil, and inertia move the rounds forward (actually the rifle recoils, the rounds try to stay in place) and then the spring slams the column of ammo back against the cartridge stops. That's why a good crimp is needed.
Pointed bullets (even lead) can fire the round ahead of them. The heavier the recoil of the rifle, the greater the odds.
heard of a fellow, back in the 50s or 60s who had a chain detonation of the mag in his .348 Win. He lost a couple fingers. We all hear all kinds of stories, but rounds going off in the tube due to pointed bullets is a real risk. It has happened, and likely will again, if someone uses the wrong kind of bullet.
There are NO factory rounds in common levergun calibers that have pointed bullets. The new Hornadys have a pointed soft plastic tip, but the bullet itself (the hard part) isn't pointed.
You can load pointed military FMJ bullets in .30-30 cases. Single load them directly into the chamber, and they will work fine (or at least safely). Don't ever put them in the tube, or you are asking for trouble. Even one in the mag might be some trouble, if the overall length is too long, it won't feed, and you will have a jam you will need to disassemble the rifle to clear.