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Seems to me that if the website is on a host then it's better to just use Dreamweaver to work on the website since it pulls all the files from the host. You make changes and if you like what you've done, you update the files on the host.
The only advantage I can see to using MAMP is if the website is NOT on a host. Also, if you want to test Joomla extensions then using MAMP is good for that.
I'm just thinking out-loud to see if I'm actually missing the point. I'm not too good with either MAMP or Dreamweaver since I just started using them today.