(edit) To elaborate - there are people who care deeply about privacy, and there are those who don't (really) give a damn about it. Former won't touch Flutter with a pole no matter what you say. They won't touch it even if Flutter were open source. I know because I am one of them. Latter group however is substantially larger and it basically includes everyone with a Facebook account. Having built a product that could've been seen as privacy-invasive, I was in a situation similar to yours and the take away was to counter complaints from the former group with a simple "this product is not for you." It saves nerves, time and money.
Great site redesign by the way. Not sure if it'd would help with getting $ customers, but it's certainly un-ordinary.