I wouldn't worry about it. I also cut at 4 in and you get some seed heads this time of year. They will go away soon enough.

To be clear it's cut at 3" (as high as this mower can be set)

Having just gone through a flush of seed heads, the answer is no, they will not stop no matter how low you go. I went as low as 2" and they just grew below that. They'll be around for about 4 weeks and naturally stop.

You can actually prevent KBG seedheads with two well-timed spring apps of trinexapac (T-Nex) and ethephon (Florel). There's literature around the web on how to accomplish that.

@ Ted, oops, why did I think you mowed at 4"? Anyway, I've got seed heads everywhere as well. I just mowed and lopped off maybe half of them. Doesn't look bad to me but in any case it'll go away soon enough.