The truth? People are smart. They're not simply going to buy anything from anyone unless they feel there's an immense amount of value to be had there. Thus, your funnel needs to built that value and bake it in through a variety of means. But most importantly, you have to create a strong bond with your prospect, and that happens by being relatable, honest and transparent in your email warming sequence.
Now your marketing automation funnel is giving you a boost at every stage: It responded within five minutes of their first contact, and that helped get you the chance to make your pitch. Now, after the pitch, you're ready to stay in contact and respond to objections in a friendly, targeted way. (And if they love the pitch, automation can help you stay in close touch until closing.)