Every basket has weak points, or favors one type of putting speed, angle, etc over others. None are perfectly designed to catch every single "good" putt ever thrown. What I've found putting on the Marksman, and I think it's the idea behind the design (Bullseyes too, for that matter), is that if a putt sticks on this, it will stick on pretty much any regulation basket on the market.
In the same vein, if you're missing putts on the Marksman because they're splashing out left or right or coming straight back off the pole, then those same putts are going to miss on many other regulation baskets. Maybe they don't miss on every basket since each model has its own weak spots (too many chains, not enough chains, odd gaps, no gaps, too light, too heavy, big rings, little rings, etc), but a bad putt on a Marksman is going to be a bad putt on something else too.
Since there are so many different targets out there, it's hard to keep track of where the weak spot(s) is on each model, so we usually reduce it to "I wuz robbed" when a putt makes a lot of noise in the chains but fails to stay in for whatever reason. I can't count how often I've seen people get upset over a putt that missed because it was, take your pick, off-center left, off-center right, too high, too low, too hard, too soft, too angled, etc. Occasionally it's just fluke, but far more often it just wasn't as well thrown a putt as they think it was...or it was a putt that brand Z (which the player plays/practices on often) tends to catch but brand Q basket doesn't.
I think practicing on a Marksman (or similar style basket) could eliminate some of the "target blaming" that goes on, in large part because it encourages putts that should be universally successful in staying in whatever style of target is on the course.