Yes, there is a relationship between forest naturalness and our human sense of place. The forest is seen as a place not habitable for humans. Generally, humans see the forest as a place for all but domestic animals. The early humans never fared very well in forests since they always encountered danger from savage animals. It is due to this and other reasons of security which has led to clearing of large forests to make way for urban buildings. Inasmuch as humans adore nature and even set aside large acres of forests just to conserve certain species of animals and plants, they are not accustomed to the naturalness of the forest. So, yes, forest naturalness has influence on human well-being and the degree of forest naturalness will definitely affect people's sense of place.

Dear Guillermo,

Thanks for your response. May I know what are these indexes and do they include sense of place as an indicator?

Although forests do support predators that can be a threat to humans, I respectfully disagree with the view that humans cleared forests because of danger. Prehistoric and present day aboriginal people clear forests to increase the amount of primary productivity that can be directly beneficial to local human communities. Indeed, there remain human communities in undeveloped areas that do quite well in a matrix of forest with openings to promote certain products or harvestable game.

... If I remember correctly, some scientists from The University of Stanford has recently published relevant research on the effects of 'vegetation' (walking, amenity, etc.) ... on various parts of the brain.

Exactly, there must have positive relationship always and all the times.