I'd say the sunflowers will attract more bugs that will move onto your plants.

Those are relatives of stink bugs and squash bugs. Hard to kill. I think the best control is checking the leaves for the eggs and squishing them before they can hatch. But it's hard with a large garden and large squash plants.

I have tons of the black leaf footed bugs and stink bugs. The sunflowers are a magnet for them, and they stay on them. If I have sunflowers in my garden I do not have many leaf footed bugs in my garden. Sunflowers are a great trap crop for them!
Good luck!

You could try the soap and water method to control them.

Thanks. These guys are still around, they're climbing up my window screens. Do you think sticky traps would work? I had planned on putting in some stakes and painting them yellow, then smearing them with vaseline. Marg