Sorry to jump in on someone else’s thread but I’m having exactly the same problem… if I view my site through the X-store theme settings the font displayed is Lato as I have it set in the options. But when viewing the live site it displays in a standard serif font (exactly the same issue as the original poster)

https://shopforsomethingdifferent.com/

I’d appreciate any help in getting this sorted out.

thanks
Phil