Not at all, no, this would go against everything ever done in the world of media marketing, and would be completely counterproductive.
If you sign a content and distribution deal with NF, or any company, the company will promote every project in its own right. Every single one. Especially if the content is as disparate in subject matter as H&M's has been. They've had a biographical series, a show about veterans, a show about leadership and a show about a sport. Cooking to come. On paper these will all appeal to very different audiences and so NF would, in the normal course of business, be promoting every single one heavily to different audience segments in order to maximise the number of new subs across different audiences. That is how the business model works. That is why I'm saying that the lack of promo for Polo is commercially counter-productive. The only reason I can think of for why NF is being so coy about Polo is that they fear that promoting it might do more harm to their business than good. I don't know why they would think that but have theorised it might be due to fears of bad PR on the animal rights thing. Or maybe NF execs were disappointed by the final edit.
I also disagree with a previous poster who said that it looks like NF is throwing its weight behind the cooking show. I'd say the opposite seems to be happening. The show was filmed in summer '24, NF does not sit on material, again their model is predicated on flogging their top line which means pushing out new content asap. If they wanted to throw weight behind it they would have put it out in Q4 2024 to take advantage of the US Thanksgiving-Christmas period which is when cooking shows and grocery spend it highest. Not in calendar Q1 which is the high period for diet/health journey/fitness material.
Of all their NF projects, on paper I think that the cooking show has the least chance of mass commercial appeal. I've posted why I think this at length on another thread but to summarise it's because the food/lifestyle/home-making market in the US is highly fragmented and regionalised, and the current trend is towards tradcore/homesteading, which I don't believe Meghan would fit at all.