I'd say right-handedness is just as common as in our world! So, 70% - 90% of the population is right handed.
I'd imagine that lefties would also face a lot of pressure to do things "correctly", since just as in our world, most things are made to accommodate right-handed people.
Though they'd have an advantage writing in Thanatos since while I didn't include this in the world info yet, I imagine Thanati write left to right. 8D However, Thanati would also probably be particularly strict about making folks conform to right-handedness, since ritual is so important to them.
And in other places, it would be tough for them, too. Like a person learning how to fight with a sword would probably be taught from a right-handed POV.
HOWEVER!
A lefty would have an advantage in a fight against any righties since righties generally know how to fight against righties and fumble when they fight against lefties. Meanwhile, lefties are very used to fighting righties! xD
(Ughhhh I have personal experience with this. |: When I was into fencing, THE WORST THING was facing off against lefties omg. Got my butt handed to me every time.)
I'd imagine some societies would care less than others. Yoreiqi probably wouldn't care--they're very accepting in general.