Braintree is not a great example of a company that "didn't take VC." According to Crunchbase they raised a $34 million series A round and a $35 million series B round. BigCommerce also raised a $15 million series A round and a $20 million series B round.
Yes, correct, people keep making this mistake. 37s only accidentally featured Shopify who took seed money, but they corrected it and removed them from the roll once it was pointed out.