It won't change the economics of the current class of aircraft. They will still need to have business class seats to pay for the economy cabin.
You will probably end up with 5 or 6 tiers of service instead:
Supersonic: Business + First
Subsonic: Economy + Eco+ + Business + First
Supersonic First will be a Veblen good that has a high price floor (like $30k). Business for time sensitive business passengers, and it's actually an Economy Plus seat for ~$15k.
It's very hard to resist marketing some service differences, particularly when you have two classes of users with different needs (speed vs. prestige).