I just (last fall) switched to lefty after a lifetime of target panic. If I aimed (rightie) while I drew, odds are my release would be whenever my brain said I was done, and that could be at 24" or 30".
Now, I use a very defined set of motions. I draw back below my face, more or less straight across my shoulders to the stop. The stop is my natural wall when my shoulders come together. I can't vary from that. Then I lower my face / raise my hand to my anchor point. At this point, it is not a huge move, everything is nearly there already.
Then I get my face down till I see a certain sight picture, which now includes the arrow, although I don't consciously "aim" using the arrow, continue the pull/push and release after a short bit. I do not short release and I now practice making SURE I don't release quickly.
So far I am shooting better than I ever have, with no thoughts of TP. I don't want to pre-aim ever again. Sure works for some, but never again for me.
Now, That said, when I see game I always get a view of the critter and decide if I want to take it, then lock in on the spot I want to aim for and forget the rest except to monitor body and head posturing.
ChuckC