Without wanting to state the obvious, you did take trekking poles didn't you Dave? River crossing and all that? I went for a look last year and it was fine getting across. Couldn't get off the deck on any of the problems tho!
I've been across the river fine in previous years (I used to keep some old reef sandals in the car, brushstick as an improvised third leg), but we avoided it as it seemed that from reading various recent threads it looked like the tide was turning (pun intended) against using the wading approach due to some folk having issues with anglers etc.
My personal preference would be the wading approach, as it's the most direct and it's the one that leave the least impact (any sustained use the the hillside descent could easily turn it into a necky mudslide). If the far bank is indeed national park with access* and the near back is presumably public access (unfenced and no indication to the contrary) then they surely there's no legal impediment to wading over.
Might still be wise to do it when there's nobody fishing, or possibly not parking directly opposite, if just to avoid any agro or drawing attention to yourself.
*(interesting, as other have said it's private land, I'm sure Bonjoy is correct)