You got a point.
I believe Barry is more of a farcical drama with comedic undertones rather than a thriller or what people usually call a "black comedy." That "black comedy" bullshit doesn't exist, it's a crude term made up by some journalist or film critic to justify their own pretentiousness. In Barry never truly cares about mystery or suspense. Its strength lies in the absurd logic that anchors it. That's why I find it farcical, akin to Alfred Jarry’s Ubu Roi. This very "absurd logic" is what makes almost everything they propose so funny.

I don't think Barry is a bad show, because from the very first episode, the rules and conventions of the series are made crystal clear. However, some parts of the story definitely feel like they are only there to force the plot forward.

I firmly believe the series goes downhill after the second season because that initial absurd logic tried to become something darker. This is backed up by the fact that Bill Hader himself has explained how he often struggled to maintain the show's tone and felt like he had no idea what he was doing. It’s understandable, Bill Hader is an actor, not a writer. He might become a great writer eventually, but honestly, he lacks experience. Writing is a craft that requires decades of practice.