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Is there evidence that Intel Inside had a margin gain for the CPU product? Although not the tone of this article, the graphics suggest the II branding campaign had so much less to do with their growth than general computing trends.[0]

To answer your Intel/TV ad question more directly: because there are a lot of people on Intel's payroll whose salary directly depend on them placing ads on TV.

I do not demand you see my perspective, not even sure that's how I see it. But really, how do we know that Intel's branding campaign was valuable to them? It seems obvious, but if it's super obvious, it should be easy to explain.

[0] https://conversionxl.com/cro-vs-branding/