No pvp in eternal battleground jumping puzzle
For good or ill, it’s a PvP jumping puzzle. There are built-in traps all throughout, and places custom-designed to allow folks to be ambushed.
There are ways to mitigate the opportunity to be set upon – there are invisibility fountains in the puzzle, which you can use to become invisible for minutes at a time (four? five?) but ArenaNet put these puzzles on the WvW maps, and gave them WvW-specific rewards. They’re not likely to remove PvP from them.
Honestly, I’m mildly surprised they removed the siege weaponry from them (not displeased, mind you, but surprised.)
Putting in a suggestion that they put a “copy” of the puzzle elsewhere without the WvW rewards might possibly happen one day, but they’re never going to remove PvP from the WvW incarnation of the puzzles.