“Moving forward we’ll be moving our infrastructure to a cloud platform so we have continuity of service and are not relying on a back-up fail over failing”.
Typical management knee-jerk reaction. What they should do is look at what they spent on DR (clearly very little) and then work out a revised plan which actually works.
If they want to transfer it all to public cloud offerings, fair enough, but it won't magically give them "continuity of service" unless they put the work in.
They still need the same sort of planning - "cloud" is not magically robust, if you lose a server, and don't have any form of DR, then you're stuffed, no matter where it's hosted.