RE: Is "center-shot"....."center"?
Not familiar with the bow or rest but what I'd try first is fooling with the limb bolts.It may be nock travel. The nockcould be being driven down at the end of the cycle. Try and take some out of the bottom limb bolt or adding some to the top. 1/8-1/4 turn at a time. If you get to 1 full turn and things haven't improved, forget it.
Does that bow really start off in the center? I mean is the nock really in the center between the2 axel bolts on the string. Mine isn't even close so anyone can see that there's plenty of room to play with either way. Mine also doesn't split the bow top to bottom evenly, it's a compoundangle.
Are those limbs (top and bottom) interchangeable? If not there's more proof that there's room for adjustment. If one limb is stronger than the other, it will pull the nock up or down unless it's equaled out. I know they work hard to take the figuring out of it, but... unlees you can film it, ya got a experiment.
Other things could also be effecting the travel like cam rotation. Thing is a bow that shoots well adds up and it takes a series of things to add it up. For the sake of example lets say the number it needs to add up to is 10. As long as it does it will shoot well, could be 2,2,3,2,1. The thing you want to get though is 2,2,2,2,2. In other words you don't want to have to have a 3 to make up for a 1. A new slide might just be a 3 because your timing is a 1. It's why most everybody has a fix that worked for them and "if you do what they did you'll be fine". You do and your not. For them it added up, for you it didn't.
I can't nor can anyone else without knowing all the factors what the fix is but I can say this, you'll know when they're all 2's.