As you have mentioned it depends on the city in question. Exact geo domains in the .net extension can have value but of course this is dependant on a multitude of factors. For example:
Is the city well known internationally? Is it an administrative center? Population? Is it a popular tourist destination? GDP/capita? and so on...
Major US/European cities in .net can go for (mostly low-mid) $xx,xxx if the buyer is motivated.
Can you reveal the domain? It would help a lot in terms of valuation.
I saw an infographic that showed French as #6 on the top languages spoken on the top 10 million websites from Alexa. English was 60% and French was 2.6%. So I think the demand for Bethleem.net would probably be a lot lower than Bethlehem.net but I'd think there'd still be more demand for the city's name in French than in say Turkana, a language spoken by less than 1 million people and a good portion of which don't have internet access.
Edit: I also want to say that I see that the com/org are taken by the same developed website already which might deter people from using the .net but also might increase the demand since the com and org are taken.