Stripe Connect is how order payments are processed, so everyone who has a marketplace storefront needs a Stripe Connect account to be listed on The Marketplace. The bank account you link to Stripe Connect will be where your payments are sent to.
See also:
How and When Will I Get Paid Out For The Sale?
How Do I Collect and Receive Payment for Delivery Fees?
Your billing profile is used if your customer wants same-day delivery, or if you need Trellus to pick up a return. Your card on file is only charged when a delivery request is submitted. Do I need to have a Billing Profile in order to be listed on The Marketplace?