As other have said, if you have the option to prerelease the mirror, do so. I've also noticed the difference between cameras. I used to own a Nikon F100 which had very good mirror damping. My current F80 seems very good in that aspect, at least it's very quiet.
But this question was about MF cameras. My Hasselblads is a very different story from my Nikon (which is used as a "notepad" as opposed to the more "serious" shooting with the Hasselblads or the Sinar). Please note the quotation marks around "serious".

The 'blad is quite noisy and it really "slams" the mirror up. Whenever possible I prerelease the mirror, regardless of shutterspeed. Of course, a good tripod does help to absorb or dampen the vibrations. I guess that an underdimensioned tripod could actually worsen the situation, but I don't think that anyone here would really use a $20 tripod for a 'blad, Mamaya, Pentax 67 or similar anyhow.
//Björn