I disagree with the teleport concept. Everything but having 1000 sidewinders across the galaxy to just teleport to. I could play some text based games if I'd like this kind of gameplay. It would lead just to exploits, loose of interest in the game and players leave.
Aside from the fact that you can't have that many total ships, what use would that be ? What can you do with a Sidewinder at any location ? You'd still need to have an other ship transported there, or simply fly there in the first place. About the only use for a Sidewinder to teleport to that I can see is collecting CG rewards from a CG that you left earlier after contributing enough.
Also it isn't feasible to dot Sidewinders around, as you'd never be able to get rid of them without actually flying there to sell them. There is no remote selling, and you also can't sell the only ship at your location, because that's the ship you're in.
If you really think it over, the OP's suggestion isn't all that bad as some on this thread paint it to be. There's still a lot of traveling to be done, but it cuts down on a lot of unnecessary tedium. Sure, you can facilitate managing your fleet by keeping it stacked in one place. I do that. But it still involves leaving the nest with the ship for the intended purpose, moving dozens of ly or more to the destination, then after you're done flying dozens of ly or more back to base, switch to another ship for the next task, rinse and repeat. This does not sit well with a game that FD have otherwise tried to make fairly accessible and gamey.
The only thing I can see as remotely game breaking is maintaining some ships in the bubble and another few in Colonia and switching between them at will. Or being an explorer at beagle point, switching to a bubble ship at will. So introduce a range limit. No transfer to a ship that's further than maybe 500ly from your current one. I can see how some crazy players would then create a Sidewinder bridge to Colonia, but come one. The tedium in that is hard to top.