Center Tap from dual Secondaries

Between the two options shown are there any issues, advantages or disadvantages?

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They are the same electrically. Whether there is any difference in the minutia of how the primary and secondary couple high frequency noise on the mains I wouldn't like to say. There may or may not be any difference there and if there was it would likely be a half of a quarter of nothing.
 
But probably better still to connect those windings in parallel and feed them into a bridge rectifier. In the circuits you show each winding only supplies current on alternate half-cycles, so in each half-cycle twice the current is flowing for the same output current. This increases heating in the transformer windings due to (I^2)*R.

Not necessarily a problem if the transformer is lightly loaded though.