I don't know who designed or built this bridge, or when, and indeed that's probably for the best.
This is a truly bizarre design. If the bridge deck has a genuine half-joint at both ends, then it presumably cannot transmit axial loads in either direction. However, a cable stayed bridge cannot function without axial loads in the deck, as these are necessary to balance the horizontal component of forces in the inclined cables.
The conclusion is therefore simple: none of the cables are in fact carrying any load from the deck, nor are they designed to do so. This accounts for their slackness. All four pairs of cables, and their supporting mast, are structurally redundant, just an affectation.
One positive thing about the slack cables is that this allows them to be threaded through the parapet railings in order to be connected directly to the deck stringers. Truly, this has to be one of the oddest arrangements I've seen on a bridge like this.
Here however, there is already a fine Victorian railway viaduct that can be admired – there was never any need for a short-span footbridge to try and compete for attention in this deeply ridiculous manner.