Well you are not alone! I have the same issue and I have tried loads of things, counter steering works the best so far. I tried adjusting the front susspension, softer on the right hand side, not much difference in the corner and worse over straight lines.
I have put it down to 'that's the way I ride'. The best option for me is this:
Ride wide at the start of the right hand bend and then gradually power on and maintain the drive towards the apex, once past the apex open the throttle and accelerate through, obviously remaining within your capabilities and not going mad.
Don't concern yourself with what your mates are doing, blasting about or whizzing round corners, everybody rides differently. Practice practice practice is the key. Build up slowly and keep it smooth.
Hopes this helps
If lefts feel good, sit on your bike and adapot a left-hander position, then go for a right and see if your body mirros what you're doing on a left. I see plenty of people keep an almost identical body position for left and rights on the road when they complain they can't get it right. Usually it's left handers people struggle with too.
I found that initially. I conclude it was fear of dropping it on the exhaust side which could be a costly repair and the fact that being short when I accelerate my right shoulder dips, my torso twists and I'm sat slightly to the near side of the seat so without actively positioning myself I'm counter balancing the bike at a speed when such a technique is unsuitable. Always keep your body's centre line inside that of the bikes for corners over 10 or 15mph!
It's no longer a problem for me now I've learnt to always make sure I'm sat central.
As regards to the above post about people usually struggling with left handers I believe that to be the case as we take roundabouts clockwise in the UK so lots of practice of turning right.
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