Yes, you may be correct in one sense. But "your" market is not a "functional" one in the sense that the National Best Bid and National Best Offer are illusory then. And if you were designing a market structure from the ground up, "your" market would not be the obvious design choice.
How do you know what my design choice is?
You are assuming I want it the status quo. If you really want to know. And I know you do. Here is what I'd want:1) No dark pools
2) no internalization
3) one central exchange
4) basic limit and market orders only
5) Fix the SIP
However, we all know that won't happen. So I'd settle for...
1) only lit venues
2) no internalization
3) no sub pennies
4) basic order types
6) allow locked/crossed markets
7) fix the SIP