I don't think I am interested to remove such conversations, because in most cases, ANY hosting provider putting 500-1000 websites on one server, will experience such problems, and all users should know about that.
That is actually the main difference between a dedicated server, i.e. the machine you run and maintain on your own, and the server which is maintained by somebody, thus "somebody" is not always an educated and experienced staff. I have experienced such problem on Hostgator, where we hosted miniBB for some time in the past. When the problem was solved, it appeared that some other website caused it. Then the question is: why exactly miniBB website was closed? because of what? What kind of information was investigated to close that website, not the other one? The website was stopped, we lost traffic and customers. Who can be in response for it? Nobody.
This is the information you will never get from the hosting provider. Else they would look too lame in your eyes, too untrusted.
I must say to everyone who's going to buy a "cheap" web hosting, or in general, any other shared web hosting: such hosting is always unreliable. All providers trying to put as many websites as possible on one server. When you read there is "unlimited" space offered, it's not true and it's just an advertisement trick.
The space is always limited, but the trick here is, that providers just try to keep small-to-medium websites on one server which do not take a lot of traffic and a lot of resources. By the certain time. When some of these websites at just one moment becomes extremely busy - yes, in this world it may happen that your website gains a popularity one day - or when some website may be hacked or flooded - all other websites fail because of it. And nobody could expect it - providers can't control traffic and resources in advance.
Web hosting is a very difficult business if you would try to achieve high quality trusted service with it, but these days, most web hosting companies are "automated". They just buy computers, buy software to maintain them, hire few students or cheap 3rd world engineers, and here you go - the system is ready to start. And it may work in some terms, but only if there is nothing serious.