I'd agree with a lot of that. Hawkeye certainly has experience fighting far higher levels and has shown physical strength on par with Daredevil (stabbing an arrow through an Ultron copy that could tank machine gun fire and Matt being able to physically destroy pieces of concrete during some of his fights). Hawkeye has a definite advantage in terms of reaction speed, given he's been able to react to the likes of Ultron and Black Panther.
Despite Clint's accomplishments, however, I'd say Matt would have more skill in terms of martial arts and melee combat though. Clint may have high-level government training under his belt, but Matt's training from Stick and his own experience allowed him to fight those as deadly in close-quarter combat as Hand ninjas, which are generally treat as another tier to any professional criminal, not to mention being able to fight evenly with an ex-Marine that was treat as an exceptional talent by any military standard - Frank Castle.
I'd also say it's unlikely even with his experience Hawkeye would be able to disrupt Daredevil. By the time he rescued Stick in Season 2, he'd seemingly overcome what weaknesses his blindness provided. Even with prep, Clint would be hard-pressed finding a method to hard-counter him.