Wayback machine URLs are much more likely to be stable.

Even if the content is taken down, changed or moved, a copy is likely to still be available in the Wayback Machine.

I would never rely on this vs just downloading the SOC2 reports, which almost always aren't public anyways and need to be requested explicitly. I suspect that that compliance page would have just linked to a bunch of PDF downloads or possibly even a "request a zip file from us after you sign an NDA" anyways.