In the United States at least we don't really have privately owned nature property like you might in Sweden. I live in Ohio for example, there's nothing to go see or look at. We have no need for the right to roam. What are you going to do, roam through a cornfield? A parking lot? The woods? The mall? Well you can already do that. We have state parks, local parks, national parks, etc. to get your nature fix and it works very well here, there are no complaints about this whatsoever.
Sometimes Europeans are so convinced that their way of life is better or their policies are the best they forget that sometimes their policies solve problems that don't exist in other countries. There's no need to have a right to roam in America. There's nowhere to roam to, and the places that you would roam to are already owned by the public where you have... the right to roam! Though we are much more strict about natural preservation in those parks which sometimes conflicts with the desires of some to go "off trail", but that's a separate issue.
The UK might be a little different, granted, but the no-true-scotsman approach to someone suggesting they enjoy the UK's right to roam but they can't because the Nordic countries are so much better in this regard is annoying, to say the least.