Would it be possible to host the Wine packages somewhere with higher
availability?

My sense is that budgetdedicated has largely had a stellar track record,
and that we should, in addition to our great thanks and praise, give
them the benefit of the doubt.

Your sense is not measurable. Actual metrics of the site's availability would be more useful. I look forward to Scott's reply. Hopefully there are improvements that Wine users, such as myself, can contribute to improve the availability of the packages.