My father-in-law is from Burkina, and his family, including my brother-in-law, still live there. The rejection of ECOWAS and the alliance with Mali and Niger is popular, owing mostly to what I’d describe as a general anti colonialist and, particularly, anti French sentiment, which I suppose is understandable.
The article talks about how the countries have rejected French military aid, but the overwhelming opinion I hear from any of the expats I talk with is that the French were only there to protect their mineral interests and provided minimal aid outside of that.
Ultimately, the combined military power of all three nations is not enough to fend off the insurgency. They are further hampered by inter-ethnic conflict, and I very much doubt that Russia will be able to provide any meaningful support, especially for free. This all leads to intense civilian suffering which, in my opinion, requires UN intervention. Unfortunately unless the military junta suddenly reverses its opinion on western influence, this is unlikely to happen.