There are email warming sequences that include things like personalized value-driven stories, tutorials and even soft pushes to webinars, and of course product suggestions that happen over days or even weeks. The truth is that most prospects won't buy from your website at first glance, especially if they're only just becoming aware of you today. It takes time. Thus, the funnel is a multi-modality process, as there are a variety of relationship-building experiences and "touches" that occur through several stages.
Principle of commitment & consistency -- When people commit to something, they're far more likely to purchase from you. That's why getting them to agree to something like a free + shipping offer or by agreeing with something you've said in some way. This is a powerful principle in sales and if you pay attention to some of the best marketers in the world, you'll notice that they work fervently to get your commitment to something, even if it's very small in the beginning.
There’s a better solution: Build out an automated email follow-up campaign that speaks directly to this objection. Any time you encounter this problem, you can send that prospect information that seems designed just for them. A multi-month educational campaign may reduce their content anxiety and nurture them toward a sale. Yes, it’s work up front, but once finished, this campaign will work for you always.