While that may in fact be true, the reality in my case was a bit different. Another site on the server kept getting slammed with denial of service attacks which would cause this site to hang and not load in the browser.
So, after a firmly but nicely worded complaint, they told me they would move Appliantology.org to a different server. I was expecting to be posting updates on Twitter but it was done so quickly that I never had a chance to. An utterly painless and seamless server migration. Them dudes at Invision Power Board are good!
Anyway, we're on a different server now so hopefully the nuisance downtime is history.