Well I only have experience here, and that's rather limited. But if reducing your tillage has had no effect on your weed situation, then why not make the logical step and stop it all together?
It reminds me of something I heard on this farm not too long ago. I commented that we had had good control of black grass on a no-till field. The response was - "yes, but we also had good control in min-till".
Well, if you've got good control in both systems, why would you use the one which involves more passes, more time and more money!?
Can't argue with you on that, maybe I need to have 40 mins in the van and have a look, if your willing one day to help me take the next step