First issue, if you choose "Pick up" option at checkout, then proceed to payment, and then go back to "Information" page, the "Ship" option is highlighted as selected, but shows the "Pickup Locations" heading and options below. And the "Pick up" option is kind of selected as well as it shows in red, but the radio is not selected.
Another issue, customers should always have the option to select between pick up and delivery. Some returning customers may not know that pickup is now an option. Even if you were to add notice on the cart page that pick up is an option, Shopify takes returning customers straight to the Payment page, bypassing that option, and many would not know how to get back to it, or that it even exists.