Dealing with potential spam in abandoned carts: should I be concerned?

The Spam Bot James James (first name and last name are the same) is hitting our store too. Over 5000 abandoned carts in 11 days. The bot is adding $0.00 products to the cart. For many years we have heavily relied on our $0.00 products for marketing purposes. We do not want to delete our $0.00 products.

Shopify Support is not much help.

Come on @Victor_5 Shopify. PLEASE come to the rescue soon!!!