TBH, AMD doesn't have the money to waste on trying to find flaws with Intel CPUs directly. That engineering time would be better spent on their own products.
AMD has the advantage of having little market share. Nobody is looking at AMD's products in the same way they are looking at Intel's. Intel vulnerabilities affect everyone, AMD vulnerabilities impact almost nobody by comparison.
AMD doesn't need to spend money looking for Intel vulnerabilities because everyone is already focusing on Intel. Security researchers are already doing a great job making Intel look bad, so AMD doesn't need to work on that. They are better working on their own stuff.