Sophia Both. Sorry, that's the worst answer!
Seriously, there's no right or wrong there, just two different ways to do it. I've noticed the same thing with a bunch of different LH patterns. Some teachers / authors suggest legato, other staccato. More importantly, when I listen to classic blues pianists, I'll hear it all sorts of different ways.
I'd suggest just sticking to whichever one you prefer right now so as not to slow down your progress, and then revisiting it at some point to try it in different ways.
Enthusiastic but mediocre amateur.