Things can look quite different for marbles with opaque striping and those with transparent striping glass, like the last one you showed. BTW, what size is that marble?
The only real Swirls Akro made were errors, although certain types like Carnelians and Ades can get a little swirly. This one's giving me a Heaton vibe.
I always thought the big ones were called Toe Breakers. But I do remember being a kid and getting those gigantic jawbreakers that you could barely fit in your mouth.
The fourth marble is a Tiger Eye Type II - the black-streaked white ribbon was likely meant to be all purple/black. The third marble that Rick mentioned would probably be in the "Elite" group.