The 5110, due to the lineage of the PP world times, easily wins for bragging rights of a complication, however, for practical purposes, I prefer the 5134 for these reasons:
(1) the cleanliness of the dial makes it easier to see and read, especially for more "mature" eyes,
(2) travel time goes forwards AND backwards,
(3) travel time hand can superimpose over the home time so that you can be left with only 1 time zone showing, so it can be a simple Calatrava dress watch, too.
The only negative: although it's corrected now in the 5164 and 5524 series, but I would like to have seen a date that could go forwards or backwards, like the JLC Hometime.
SO, +1 for the 5134.
(PS: I dissent for sake of making the conversation spicier) ;-)