I think we are mostly on the same page. Pain and suffering are different things, and often fully embracing pain and letting go of aversion decreases the amount of suffering in that moment. So yes, it's very important that practice is motivated by wise consideration of the true nature of suffering, and perhaps I should have qualified that.
However, given that qualification, I still believe that practice should be a smooth descent of the gradient of suffering. You may increase your conscious awareness of pain or unwholesome states, but you should always feel less suffering after you do that. This is because letting go to the reality of the present moment is the opposite of clinging. So you should always feel better* when you practice than when you don't.
I will admit, though, that perhaps my perspective is colored by my experience and this is not true for all people.
*by feeling better we mean less suffering (dukkha), not more pleasure and less pain
However, given that qualification, I still believe that practice should be a smooth descent of the gradient of suffering. You may increase your conscious awareness of pain or unwholesome states, but you should always feel less suffering after you do that. This is because letting go to the reality of the present moment is the opposite of clinging. So you should always feel better* when you practice than when you don't.
I will admit, though, that perhaps my perspective is colored by my experience and this is not true for all people.
*by feeling better we mean less suffering (dukkha), not more pleasure and less pain