I agree! I've seen also, it's not appropriate in a bed. It doesn't do any of the things it claims it can/will, and eventually causes more harm than good. It will hinder desirable plants in various ways, and weeds can/will grow on top of it just fine.
Your plants are lovely, but looking at that stuff on the ground is really detracting from their beauty.
I would strongly encourage you to take that stuff up before it gets any more difficult to do. Putting cardboard under mulch is a much more effective method, which will smother existing weeds, then decompose (adding some nutrients to the soil,) doesn't hinder growth of desirable plants, quite the opposite. To maintain, add more mulch as the old decomposes.
Once you gain control of the weeds by killing the existing ones - which looks like a feat already accomplished from your pics, then pulling any new sprouts before they are difficult to do (and well before they are mature enough to drop more seeds in your beds,) control is not difficult to maintain. I gardened downwind of this for years, but it wasn't hard to maintain control by patrolling every-other-week or so for a few minutes, pulling anything sprouting. This pic a couple years before it got REALLY out of control from being abandoned.
