Given the long lead times, I think it's unrealistic to expect international celebrity products like cookbooks, television programming and magazine features to react swiftly to volatile economic conditions. That means there's a risk of things falling flat, as anyone who published entertaining cookbooks, restaurant guides or destination wedding planners in early 2020.
Depending on their audiences, I might expect celebrity chefs who regularly publish newspaper columns or have their own online presence with blogs, Instagram, etc. to be a bit more reactive.
That does require understanding who their audiences are and what's relevant to them. That Daily Mail Jamie Oliver-bashing article that I linked to mentioned that Oliver was also roasted as out of touch for a recent series on £1 dishes. I'm not sure exactly what the issue was. Maybe the dishes were priced out at £1 at the time of filming but no longer doable at that price by the time it aired. Or maybe it's just a haters gonna hate thing.
Edited to add that I followed the link to read the £1 Wonders gripes (the DM article is here) and there are a number of concerns but it seems like many people felt they were being preached to about frugality by a guy worth £240 million so I guess we should ask whether it's even believable when celebrity chefs attempt to enter that space.
Maybe this is a DM thing but it made me laugh that both of these Jamie Oliver TV show bashing articles ended up with a bunch of recipes from the just-trashed programs. As @gfweb suggested over in the other thread, maybe that negativity is just clickbait.
Back to your questions. Would I engage with shows promoting budget meals? I don't watch much food TV, but if I heard good buzz, I might take a look. Budget-stretching strategies for large families? Probably not for me. I'm concerned about food waste and energy efficiency so if there were entertaining programs framed in that way, I would definitely check it out. As @heidih and @liuzhou have said, the TV stuff is largely entertainment.