I use the Dunlop 206's also.
My history has been that I've studied with different teachers and always adopted their picking techniques and pick.
In retrospect, this didn't work so well. I know how to pick a couple of different ways, but I'm not very good at any of them.
The teacher who got me onto 206's no longer uses them. I still do. Go figure.
I recently (two years now) tried flatwounds for the first time in many years. I find a noticeable falling off in brightness between the G and D strings. I'm going to go back to whatever I was using before, which I can't remember ... I think it was half round or something. I had bought a zillion sets in bulk from Subway in Berkeley -- they had big boxes, each containing one gauge -- and you just picked what you wanted. I used them for years but I don't think I ever new what they were.
Then, some buzz got me to try Thomastiks.