If you struggle so hard to imitate an authentic native English speaker accent doesn't that have the side effect of ruining your accent in your native accent?
For example I changed to a Dvorak-like layout, and could barely type QWERTY. (I changed back to QWERTY because it's just too ingrained into everything.)
From my experience - it does not.
Sometimes people ask me whether I'm foreigner speaking Hebrew, but it rarely happens, and I think it is more related to the pace of how I speak now and less with the accent.
For example I changed to a Dvorak-like layout, and could barely type QWERTY. (I changed back to QWERTY because it's just too ingrained into everything.)