I think we are both looking at it from different angle, hence i don't see what you are seeing and you don't see what I am looking at. And I agree it is highly confusing for the other, so may be it is best if we can meet and see it from one angle! (That was just a gesture) no seriously though you know how it is, you are quite right just as I am since I am looking at it from my angle, and you are from yours, I see no time difference, yet it also seems that there has to be time difference.
If you take a single phase AC power (voltage/current) of any frequency, and feed this sign wave into a primary windings of a transformer that has two separate secondary windings. You connect the two windings in series such that the end of the first set of winding is connected to the start of the second. (connected in series) and this junction/point is referred to as a Center Tap, it is then connect or labelled as "Neutral" and the start of first set of secondary winding can be labelled as L1, and the end of the second set of winding can be labelled as L2.
Suppose you had arranged the transformer such that a 240 volt ac into its Primary windings would give you two Secondary outputs of 120v each, such that the total voltage between L1 and L2 would add up to 120+120 = 240v
But, this is where my angle comes into, if you were to look from this joint between the two windings, and we labelled it as Neutral, and connected to ground, we can then measure the peak at L1 as -ve 120v at exactly the same time as the L2 +ve 120v, hence no time lag and no shift in phase, the two polarities are in the same time frame but of opposite polarities and follow the same phase time relationship as the input phase time shift.
I can understand why you can't see that, may be it is more to do with electronics rather than power generation, but both principles can be applied to one another.
In another example if you connect 2 x 1.5v cells in series, and have the center tapped, then with respect to center tap, one battery will give you a -1.5v and the other will give you a +1.5v, both at the same time with no phase shift or time lag. and if you measure the L1 of one battery with the L2 of the other, the net total voltage will be 3v.
but if this is going to cause more confusion let us leave it at that.