Well this is kinda old news really. The ticinese voted on this back in april I think ?
As a Swiss, I'm mixed. By principle I really, really dislike the burqa. I think the reason it exists is inherently and purely sexist, no matter how much I heard someone trying to turn it.
On the other, I'm no fool and I'm pretty sure at least one of the main motivation for this is anti-immigration or anti-muslim. Ticino is a canton that leans to the right, and is also the canton that is the most affected by immigration problems (there are places where there are more Italians working than Swiss in Ticino, it's a real problem).
That, and fining the woman is not going to help as it's usually out of her control, technically. But like people mentionned above, it'll probably fall on the family as a whole.
The "worst" i see here (with a muslim center right next to my home) are usually hijabs and chadors. More rarely niqabs. They're not great either but it's at least less of a slap. But it's been years since i've seen a Burqa though. It's like the anti minarets voting: A lot of people were either very against (on the left) or very pro (on the right), but everybody forgot there WASN'T any plan to build minarets here in the first place or a big will to do so...
But as far as respecting the burqa itself tho...nah, i'm not on that boat. I don't really care if it's "cultural" or in the moeurs, there are parts of that we have wilfully given away all these years for the betterment of our society. And I think that one can go the way of the dinosaur as well.