I don't know how to make it any clearer that you are the horse in this analogy. Hoping that you're one of the 5% of horses that gets kept around for racing, dressage, or farm labor when the other 95% of carriage horses are put out to pasture does not make this future any less bleak if you're a horse. If you don’t understand that decimating demand for your profession (and knowledge workers in general) overnight will do the same to wages, you are in for a rude awakening.
That you think AI doing the work of any SWE means that "any need you have could be satisfied" is fantasy. Not only are most of the things people want not the result of software engineering, but the notion that the billionaire owners of AIs intend to use them to fully provide for the wants and needs of the masses of humans who have suddenly been rendered economically useless is absolutely wild.
For perhaps a more salient example, take a look at what happened to laborers during the industrial revolution. Wages collapsed by 60–80% over four decades. It took something over eighty years (and that's considered a lowball estimate) for things to recover. By all indications AI will be even more disruptive, particularly since it is disrupting high-income professions. Notably, artisans whose jobs evaporated were not suddenly awash in a sea of abundance, as you seem to anticipate.