You are absolutely correct about this. People at all ends of the market spectrum have a very strange psychology about hourly rates; for some reason, if you hand them a quote that foresees 10 hours at 175/hr and is expressed that way, that strikes them as an eye-poppingly high number. They start comparing your services to the prices to those of high-end attorneys and accountants and so on, exercising prejudices about how programmers should be paid less than that because they are more like plumbers or electricians than litigators, and general wheel-dealing, bargaining, nickel-and-diming, etc.
In addition to that, the large-scale body shops serving the enterprise market, the ones we all know about that darken the skies with individually-billed people and squeeze as many hours as they can without the impression of efficiency, have left such a bad taste in the mouths of many people who no longer work in enterprise that you invariably have to fight against it every time you sell your services.
But if you hand them a quote for 1750, even with the 10 hour estimate baked in for their mental math to operate on (but especially if it's not, and once you quote an aggregate price itemising the time apart from overall delivery time frames for the most part ceases to be necessary), some switch flips in their brain. I cannot say what it is, or why -- it just does. Somehow, the combination of shifting the risk for overages onto you and the more opaque number causes them to start evaluating the overall sum more in terms of business value and less in terms of whether anyone should be making "that kind of money." It's really odd, but it has been overwhelmingly the norm in my line of consulting trade.