Well, I answered my question about "isn't the web hosting company concerned about their reputation?", and I guess the answer is no:
Safe Browsing
Diagnostic page for AS31815 (MEDIATEMPLE)
What happened when Google visited sites hosted on this network?
Of the 63968 site(s) we tested on this network over the past 90 days, 11579 site(s), including, for example, estrelato.com/, ecletticamente.eu/, larecord.com/, served content that resulted in malicious software being downloaded and installed without user consent.
The last time Google tested a site on this network was on 2010-09-02, and the last time suspicious content was found was on 2010-09-02.
Has this network hosted sites acting as intermediaries for further malware distribution?
Over the past 90 days, we found 291 site(s) on this network, including, for example, tinypic.info/, bolsademulher.com/, blogstandmedia.com/, that appeared to function as intermediaries for the infection of 896 other site(s) including, for example, sitedosfamosos.com.br/, stumbleupon.com/, ganja2music43.com/.
Has this network hosted sites that have distributed malware?
Yes, this network has hosted sites that have distributed malicious software in the past 90 days. We found 30 site(s), including, for example, tinypic.info/, floridabeachcottages.com/, viison.com.au/, that infected 620 other site(s), including, for example, console.ir/, ganja2music43.com/, farskids32.com/.
So, almost 20% of the sites that Media Temple hosts spew malware--I'd say that was probably a poor choice for webhosting...