https://en.wikipedia.org/wiki/Gu%C3%B0laugur_Fri%C3%B0%C3%BE...
who actually did swim 6km in freezing waters after his vessel sank in 1984..
I've repeatedly swum in Lake Michigan (looking online, it has comparable temps to the St Lawrence in Quebec) as early as Memorial Day. The water temp is often in the mid 50s, very cold even with a full wetsuit, hood, and prep, but feasible as a ritual with which to open the season and start the summer. This year, in May, it was 45F/7C. Insanely, painfully, shockingly, unsafely cold...I decided to break tradition.
In July, a 6km swim could be fun! In May, depending on the climate that year and the swimmer's metabolism and subcutaneous fat levels, it might be survivable. You might lose a few extremities to frostbite. Or it might not be survivable. 1 in 800-something odds, with an athletic 29-year-old being the only survivor, seems reasonable enough.
It is a good tall tale, out on the murky limits of credibility.