You do need to give it a firm press, but I would caution against pressing really hard. The hour counter hand is attached to a wheel that is on the dial side of the movement, and this is driven directly off the mainspring barrel. One post of that wheel sits in a hole drilled in the brass main plate, and if you press the reset too hard, the hammer can press on the cam enough to distort the hole in the main plate, as you see here:
Once that happens and the hole is made oval, the issues getting the hand to line up only get worse. So certainly give the pusher a quick sharp press on the reset, but don't lean into it with a ton of pressure, or you can damage the main plate.
Cheers, Al
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