Don't be a pussy, don't be a dick

The implication is simply that trying to be as safe as possible under the illusion that by not doing this/that, you won't get injuries,

No the original is a statement of deserve not an implication of method. As pointed out by mdcc_tester the original quote is a moral judgement yours is one of consequence.

Applying the quote to a cycling on the road situation would be people who give up the right to ride in the road don't deserve safety or liberty.

Your version is people who give up the right to ride in the road don't get safety or liberty.

it's misquoted to fit the specific training.

I'll take that as a yes, misquoting for your own gain.

Create a saying of your own, say it is inspired by someone else's saying if you want but don't claim quote someone who has said something quite different.