Honestly DCTs make up for it, especially when your customer base is mostly people who don’t know how to drive anyway.
Using a manual is easy, but using it to go fast can actually be pretty hard. You have to time everything right, compensate for a bunch of conditions, coax the shifter because its using synchros, feather the clutch accordingly, heel-toe downshift correctly, etc. It’s extremely rewarding and useful if you actually want to have complete control over your car, but I doubt your average rich guy is gonna want to put that much effort into driving.
Manual shifting a modern Lambo would just be such a chore with how fast the RPM changes too (plus the loss of power from clutch would be even more noticeable). Current high end manuals just choose to stay with 6 gears so the gap stays comfortable, but you obviously lose some efficiency.
DCTs will do that all for you, the only thing you lose is a mechanical shifter (which if you’re into manuals you very much miss lol) and the ability to do some clutch tricks (ie loss of some mechanical controls because its automatic).
Now putting a regular old torque converting automatic transmission into a sports car is a waste (and has many examples of such). They are very slow because they aren’t deigned to rapidly change gears like you can in a manual. Even a CVT would be better from a practicality standpoint.