I'm working with a successful ecommerce company who have hugely improved conversions on their (high touch, bespoke but sold online) product by introducing a chatbot.
For some use cases, customers like them very much indeed.
I guess customers want them to the extent they help them achieve their task without hassle and/or them realising it's a chatbot, pretty much just as well as a human would.
In some use cases, I suppose this might be possible (though I've not ever seen this - would love to see your example if you can name it!) but in most it's not, yet.