Hello,
Swatches attributes can be in one set only on the product grid. You can show any attribute you want. Navigate to the Theme Settings > Shop > Attribute swatches and set the attribute you want. http://prntscr.com/n7fy5u
Alternatively, you can show attribute label on the image of the product grid or you can show a table of the attributes and set “Show summary” on hover and at least 3-5 attributes will be shown.
1. Navigate to Product > Attributes > Enter the attribute > Show attribute label on products to show the labels.
2. Navigate to the Theme Settings > Product page > hide/show elements > Show attributes table after short description + Theme Settings > Shop > Product Styles > Show summary on hover
You need to leave empty the short description to show the attributes on hover.
Best Regards