"Notwegerecht" is very rare in reality, AND the user has to pay.
In general in germamy it is historically much more common that these situations don't arise because when land gets sold a prooer deal for regular "Wegerecht" is made. But it does happen.
also in this particular case probably neither would have mattered.
Seems like this area is _owned_ by the farm but basically unused. Most (all?) german state consider this to be "freie Landschaft" (free landscape)
[this includes unused farmland, woods etc.] which you can cross by foot whenever you want.