You seem kind of triggered. His math was correct. You stated that you charge $8,000 for 2 days in Canadian dollars. He calculated for $4,000 per day. That's reasonable, given what you said earlier in this thread.
In your response to his math, you stated that your rate is ONLY $20,000 for a week. Averaging your "6-8 hours of uninterrupted sleep" to 7 would work out to a little over 2 days of personal time. You expected him to assume that you would discount that amount, however, you didn't discount that for your earlier quote of $8,000 for 2 days where it would be assumed that you would still have your 6-8 hours of personal time. If you were doing the math based on a typical week long trip, 8 hours a night over a 7 day/6 night trip, it works out to exactly 2 days of personal time. At least it's nice to know that you wouldn't expect to be paid for that time...
What about SP math? You tried to work out his math and came up with $4,000 less than he assumed, when he used your own numbers to estimate the cost of a trip. Maybe don't insult potential clients on a forum geared towards us. It's not a good look.
Personally, it sounds like you have a bit of an entitled attitude and for that I wouldn't book you. So no loss here, but you may have caused others to think twice. Sounds like you're more interested in booking Americans though so I doubt you really care.
Have a good one.