I cannot imagine there is one true answer to this. (at least not without fleshing our more of the world and this town)
It would only attract nobility and the rich if it has something else. (They are already rich. Food probably is not a problem, unless food is a problem globally?) Maybe a clever entrepreneur created a luxury resort there, and uses the replenishing quality as a gimmick to attack costumers.
If it did attack nobility one thing to keep in mind, good food taste good. I don’t believe people would purpose go without eating if food was available and it can be afforded. If you are a rich noble, eating food could be a sign of your power. For the rich eating isn’t about survival in this case It’s about showing your status and enjoying life. Similar concept to the vomitorium of Rome.
It could attract beggars, the poor if the environmental conditions were acceptable. If you can’t afford food then you probably have trouble affording shelter and cloths. 121
Going to a place where you will freeze to death instead of starve isn’t that appealing to me at least.
If the land all around this place is barren, then the town might be a prospering trading post. No reason to go all the way across the deserted waist land when you can buy and sell your goods at this permanent settlement half way. There could be to types of individuals who live there. Those who laze about just happy that they can exist without worries of food or water. Taking part time jobs just to pay for rent, and minimal luxuries. Those who work so hard that food and water tend to take back seats. I can easily imagine an eccentric researcher/author working day and night on their project of choice, only taking breaks to sleep living here.
If there is a hospital in this town, the hospital might receive a good amount of attention. Diseases like Cholera tend to kill you via dehydration and can be treated with proper fluids and Electrolyte intake. In this town you would ‘magically’ stay properly hydrated. 121