Does Torpor Orb stop the enters-the-battlefield trigger of Reflector Mage?

Torpor Orb has a static ability that says creatures' enters-the-battlefield abilities don't trigger. This is a blanket suppression effect that applies to any triggered ability (those that use the words "when," "whenever," or "at") that would trigger when a creature enters the battlefield.

Reflector Mage has an enters-the-battlefield triggered ability (it begins with "When Reflector Mage enters the battlefield...") that causes its controller to return a target non-land permanent an opponent controls to its owner's hand and prevent that permanent's owner from casting spells with the same name for the rest of the turn. This is exactly the type of ability Torpor Orb suppresses, per CR 603.3 (which governs how triggered abilities function) and Torpor Orb's replacement of that triggering event.

Under CR 614.1, Torpor Orb's static ability creates an effect that modifies the rules governing triggered abilities—specifically, it prevents those triggers from even being placed on the stack. Because the trigger never fires, Reflector Mage's controller cannot bounce any permanent nor impose any casting restriction.

Concrete example: Your opponent controls Torpor Orb. You cast Reflector Mage and it resolves. Because Torpor Orb is on the battlefield, Reflector Mage's "When Reflector Mage enters the battlefield" ability never triggers. No permanent is returned, and no casting restriction is imposed. Reflector Mage simply enters as a 2/3 creature with no additional effect.

Note that Torpor Orb only suppresses triggered abilities. Any static or activated abilities a creature has are unaffected. Reflector Mage has no such abilities, so Torpor Orb completely neutralizes its enters-the-battlefield effect in this case.