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Nugatory said:All inputs are not symmetrical in the SR version of the twin paradox, which is why it is at least logically possible that conclusion be non-symmetric.
The asymmetry is physically apparent in the fact that the twins experience different acceleration.
It will also show up quite clearly if you just try working the problem in a frame in which the traveling twin is at rest during either the outbound or the inbound leg of the trip (Try it! Don't just take my word for it).
I think sugdub doesn't dispute the twins scenario (because there is asymmetry). What he/she claims is that the symmetric time dilation is not 'real' or 'actual' precisely because it is symmetric.