I think a key reason an aftermarket variac may not work though is that the one that came with the Joule connects between each amp twice (an output power cable from the variac to the amp, and back from the amp to the variac, for each channel). Two of those connections are hard-wired from the variac and plug into the amp, and the other two connections are regular/removable power cords (plugging into the variac via male connection and into the amps via female connection, if that makes sense). I'm not sure why that 'feedback' loop is there...and I don't think other aftermarket variacs have that setup.
That is where you call in a qualified tech.
Why does it take 10 weeks?? Joule's website sites an average turnaround time of 6 business days with the longest being 15 days.