Nope, these types of releases are typically shot with either a piece of rope on the release, or with a loop tied on the string. Either the rope, or loop will allow for you to turn the release any way you want once it is clipped on without torquing the bows string and affecting your shot. You would not be able to do this though shooting straight off the string, that is why people using the thumb trigger releases won't hook directly onto the string and will use that release rope or string loop. Shooting straight off the string (unless perfectly horizontal) would torque the string in an undesirable way. I prefer a string loop but either works great.

Here is a pic of me and Doug Williams Jr. showingproper release hand position w/ thumb triggers. Doug had a big part of the design put into the new series of Stan releases including their Super X thumb trigger (he works for Copper John/Stan) and is one of the best field archers in the world. You will see this position vary a bit from person to person but "by the book" Doug's position looks great.