Miller it doesn't matter what release you use -fingers,hinge, trigger, caliper (like yours) its how you use it. IMO the release is the single biggest factor in archery, long before tuning or anything else.
Look up Michael Braden, he shootsa caliper.
The way it affects follow through is you are not thinking about it or anything else for that matter, your total concentration is on the spot only, not your pin, not your follow through nothing, except that spot. Your follow through will just happen. it could be the bow going forward slightlywith no tipping or it could be pushed to the side slightly or any other way, just don't try to controll it.at the shot itcould evenbe somewhat exsplosive depending on the method you end up using to have the release trigger example; push-pull or pull.
Look up Larry Wise or George Ryals online for some good reading or even Bernie Pellirite.
A way ofexplaining the follow through would be if you were toto stand in front of your target, eyes closedand go through your shot process to full drawbut only draw with your wrist, no hand on your release and if someone were to touch off your trigger without you knowing, your release arm would have follow through. with time and practice it would be less but you would "FEEL" what it feels like
a good release to look at would be the Carter line
http://www.carterenterprises.com/products/backstrap.htm
the evolution , back strap, revolution. if you can try one of these out you will have a better idea of what pulling through your shot and follow throughfeels like.