Hey Eran,
Thanks for reaching out to us!
To clarify, it sounds like you want to use the product attributes feature within WooCommerce to add additional information to a ticket. However, you don’t want this information to show up on the event details for that ticket. You only want it to show up when the WooCommerce product shortcode is used?
If so, this is unfortunately a customization of WooCommerce features that we’re unable to provide direct support for here in our forums. However, to help get you pointed in a good direction, check out this thread on stack overflow which seems to be exactly what you’re looking for.
Thanks!