The idea of these protected areas serving the public good by, among other things, remaining accessible to the general public, is also integral to the definition of the term (and this article and new policy show this rather well). Such a policy may not have occurred to anyone establishing a nature reserve in Europe at the time, where classes would remain a fundamental category of society until the end of WW2.
There are a lot of people that live in Europe, it's not that there was so much wilderness and now it's all paved over. Australia and Canada have huge areas of wilderness because it's partially uninhabitable. Not many places have that.
Don't get me wrong, there are many beautiful places in Europe. I've had the pleasure of doing several long distance walks in the Alps, the Pyrenees and in Corsica. But it's not wilderness.
Even uninhabitable places need protection from resource extraction if they are to remain wilderness. This is how Canada lost most of its coastal rainforest. Not because there are cities there now, but because it was all cut down and sold to make shingles and 2x4s.