Had that crap in an office lobby once. Some interior designers bright idea. That looks good for a garage other than the fact it shows dirt really well. I wouldn't put it in a theater, too reflective. And I'm not big into mopping floors.
define front ? Inside/Outside Swing side or Push side.
If you are planning an automatic door bottom you need to plan for it to land on the flat portion of the threshold so in that case it needs to protrude out on the push side of the door. (side with the door stops)
Assuming your door opens into the theater this means that the threshold is not protruding into the theater.