While I agree with you that there's a desire for this I'm not yet convinced there's a market for it.
As you say, this needs to be proven to be at least as safe as air travel.
Beyond that, for certain wealthy individuals, government dignitaries and the like commercial flight represents an unacceptable risk and cost in time eg Apple's board requires Tim Cook to fly private now.
Next, if the launch and landing pads are indeed offshore and otherwise remotely, this adds travel time at either end.
Also, rockets are subject to weather much more than planes are. If your landing pad is offshore then those weather effects are more pronounced as you have to deal with sea conditions too.
Lastly, current SpaceX landing is a "dead stop" approach (vertical velocity is designed to hit 0 when altitude is 0), which seems like it may not have the safety margins for mass transit. Future designs may of course improve on this.
So much as we'd like this, I'm not yet sure how we get there. Planes have to log many thousands of hours to be certified for passenger flight. Will we have enough launches to certify rockets this way? Even reusable rockets are, in comparison to planes, expendable because they're combusting huge amounts of fuel. Like I don't see you reusing the same rocket every day for 30 years like you can with a plane.