Here is a 2005 USGS map [1] color-coding nearest road distance for every 30m x 30m square [2] in the lower 48. Surprisingly, it seems to hold up the article's claim reasonably well, and without resorting to discussing 'machines' or 'motors'.
[1] https://pubs.usgs.gov/fs/2005/3011/report.pdf
[2] Edit: the map shows 1 km x 1 km averages of the higher-resolution 30 m x 30 m bins.