I've had some of each. There's no functional difference if you understand how a stanley plane works best (with the cap iron and not the mouth adjustment).
Bedrock planes sold new about 10% higher than bailey, but they sold poorly with that small price increase. When you see the actual "that was" kind of data, it should cause pause - are the people of the generation who invented flight, industrialization, wide application of the scientific method, etc, just so backwards that they didn't understand the value of what they could've bought for 10% more? Probably not.
I think the idea of moving the frog around and "it's built more solid" sounds great to collectors and especially beginners, but they have no functional advantage in actual use.
Even the later bailey planes where the frog faces are cleaned up on a belt sander (instead of milled) and the contact areas are small - will absolutely stop a grown man in their tracks before showing a weakness. That is, as long as the user is smart enough or experienced enough to set them properly.
The bedrocks are novel and pretty, though.