Perseverance is not a passive idea. It doesn’t mean weathering or suffering through negative events happening to you or around you. Perseverance is active, it's striving, pushing through oppression, a burden, or unpleasant experience, towards a better resolution. It can also mean actively challenging or seeking change. To persevere is to work to improve the situation, despite resistance to that change.

In the same way that perseverance isn’t passive, it also isn’t directionless. It’s towards something, a maintaining of purpose despite obstacles. Simply surviving or abiding is not perseverance.

Tl;dr, training is how we condition ourselves for a real self-defence situation, and if you allow yourself to give up in training, that's what you'll condition yourself to do for real. The goal of effective training needs to be building up resilience, as well as skill.
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In our world of instant gratification, it’s easy to give up when something gets difficult, to move on to the next “fun” thing. But in the end that results in only superficial experiences. You lose out on the real deep enjoyment and meaningful satisfaction that comes from losing yourself in an activity; pushing through the barrier of “trying” to the experience of “doing” that we sometimes call flow, or being in the zone, and that defines an activity (in the Japanese mindset) as a do. The catch is, that deeper engagement can only come through extensive practice, to the point where movements and actions become internalised enough that they become like a direct extension of your will. And that’s where the hard bit, the perseverance, comes in!