The gist was that the US goes immediately for dominating the sky. Russia sees ground forces as the main engine of the army, and the Air Force only supports the advancement of ground forces near the border, without bombing far into enemy territory (which is a task for the army's missiles).
First as a doctrine, it would be a stupid one - they tend to use paratroopers for surprise taking of advanced positions, and air support is vital to help them keep their position until reinforcements can arrive. Point in case, the failure at Hostomel. Their doctrine emphasises anti-air defenses because air superiority against a superior enemy ( NATO) isn't certain, but that doesn't mean the Air Force shouldn't be used at all, especially against an inferior enemy
Second, they don't seem to be even doing that - there are small scale ( 1-2 planes) raids deep in Ukrainian territory, and neither their planes nor their SAMs can deal with the drones Ukraine fields, even over Russian held territory
I could not find the source article I read, and I guess there's a non trivial chance it might even have been based on Russian propaganda... as usual, take everything with a grain of salt. I just find it hard (and reassuring) to imagine that Russia's army and air force are in such a terrible state.
Maybe that's what parent comment is concerned about when saying "I do hope Western militaries are not counting on Russia's 'incompetence and inexperience'"