I am thinking the word fearless (without fear) makes sense but reckless (without (w)reck?) – not so much.
But then I read this:
Old English receleas “careless, thoughtless, heedless,” earlier reccileas, from *rece, recce “care, heed,” from reccan “to care” (see reck (v.)) + -less. The same affixed form is in German ruchlos, Dutch roekeloos “wicked.” Root verb reck (Old English reccan) is passing into obscurity.
So maybe it does make sense in the sense that reck ≠ wreck.
For what it is worth, just saw the movie Hustlers with J-Lo and a whole lot of T & A. What some chix will do for money!