Christian farmers that I know believe they honor that instruction when they rotate crops and allow their fields to lie fallow every few years.
If I have a farm, I can have the entire farm lie fallow for a year, or I can have a seventh of it lie fallow each year.
Are both obedience, or is only the first obedience?
It won't work. The Sabbath for the Land was as much military logistical preparation as it was anything. Don't look at it as mystical. For the most part, it is not.