"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.
a proper deal is usually made, because you know that you won't get around giving access anyways, since the law requires it.
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.