Hybrid use the battery as a storage device, it is not a generator for external electricity usage. It store energy from surplus and it release it as needed. This is the fundamental. Hybrid don't "intentionally" charge the battery with gasoline engine then release it later to accelerate the car. If you argue that "regen is engine powered because your car is engine powered" that I don't know what to say, it isn't a good argument if you want to come to a conclusion that "therefore hybrid is a waste because we might as well use gasoline engine only".
Having say that, they "keep" the battery at a steady state of charge, between 20-80%, so that if you need acceleration and it is more efficient to accelerate from battery / electric motor then it would be using that, and if you are braking gently it would regen instead of wasting all those energy to heat up the brake. When your engine is just wasting energy to plumbing loss the "would be waste energy" is used to charge the battery.
Still, engine don't charge the battery when the car is under acceleration, as I mentioned earlier.
Since you have owned and driven hybrids you know that already. You also know that people don't build a hybrid with big engine just to use 30hp out of 200hp to drive on the highway at speed limit. You therefore know that they downsize the engine so they they use 30hp out of 80hp to drive on the highway, and therefore you know that it would be more efficient than a gasoline only 200hp engine, and therefore you know that they are going to be a long term solution even when EV is common place, because there will also applications that needs gasoline but can improve the gasoline engine only efficiency. (your original point that hybrid would be obsolete).
Now, since you downsized the engine from 200hp to 80hp with hybrid, you would obviously need to keep the battery somewhat charged so that it would "feel" more powerful than the 80hp it now is. This "80hp engine charging battery" is still going to be more efficient than using a 200hp gasoline engine to power the wheel alone, I'm sure you already know that.