Can one call it a “questionable” use of quotation marks?

A photograph of a sign in a Pottery Barn Kids store at Burlington Mall in Burlington, Massachusetts:

Are they sure it’s “”their” space” and not “their “space”?”

…as long as it isn’t a spelling bee

Here’s a sign from a CVS store in Winchester in Massachusetts:

A question mark would have been in order in place of the mysterious ellipsis, but at least whoever created the sign didn’t put a random word in quotes for no particular reason (I imagine “supplies” would have been a strong candidate).