Sorry, Eckard. I shouldn't have used American idiom. "When did you stop beating your wife?" refers to a reporter's unfair question to a politican -- any way in which the politican directly answers the question will put him in a bad light. Either he once used to beat his wife, or he continues to do so. If he answers, "I never beat my wife!" then he either protests too much, or he suspiciously refuses to answer the question. To put it another way, it's a "Heads I win, tails you lose," proposition, which I think is universally understood.
In the context of your question to me, since it's based on a misconception of relativity in the first place, I can't answer the question directly without increasing misunderstanding. You've already made up your mind that relativity is flawed (though it isn't flawed at all) on assumptions that are themselves flawed.
Again, special relativity is not a different theory from general relativity. Just as in geometry a straight line is a special case for a curve, special relativity is a special case of uniform motion while generalized motion (acceleration) is the subject of general relativity.
Because straight-line acceleration from the fixed point (stay at home twin) is directly opposite the moving point (traveling twin), the relativistic effect of time dilation compels each twin to see the other's physical processes as being slowed, from their respective inertial frames, though the physical processes in their own local frame appears normal. So as long as the twins maintain this relation, they each see themselves as growing older and they see the other as staying young.
For the traveling twin to return to the stay at home twin by negatively accelerating and reversing course, she is no longer in a straight line relation to her sister. She joins an acceleration curve in which intervals toward the fixed point shorten in proportion to the rate of acceleration, until the interval is zero and the twins share the same reference frame at which they started. In this frame, the traveling twin is really younger than the stay at home twin ("reality" being defined in the original fixed reference frame) because of the relativistic effect that moving mass ages slower in relation to mass at rest. This effect is well known and well tested; convoluted "logic" aside, the physics is real. And true.
Tom