Do subscription customers receive order emails from my ecommerce platform and Recharge?

Your ecommerce platform is responsible for sending order confirmation emails and fulfillment emails. For further information, see:

• Shopify - New order notifications
• BigCommerce - Order notifications

Recharge sends subscription-specific emails that are managed through the Notifications settings. For example, Customers receive the Subscription activation notification when they make a subscription purchase, which includes purchase details and a link to modify their subscription through the customer portal.