Your thinking about the wrong type of equipment. Don't think about typical data room servers, think VERY specialized telephony equipment. Something you don't have redundant racks for. Instead, it is usual that the rack has redundant cards for the specialized functions.
'course, in this case, you would think that we can swap to a redundant card and reload the now inactive one with a pre-patched image. But in reality, this depends on the software management on the box. Some will not allow card-by-card updates and force the entire box to reboot if the software is updated. Those boxes that require a system boot to update the software could benefit from this. But then, there can be company policies about applying "patches". My company got bitten a few too many times by patching live equipment, so patches were suspended unless you got signoff by a number of managers for extraordinary cases.
I remember one time many moons ago, I needed to patch some object on disk & restart a board. I had honed my procedure in a lab all day long. The night of the patch, I had managers & project managers watching over my shoulder and the customer on the speaker phone. So I cranked up the disk editor and went to work. CLICK CLICK CLIKETY CLICK.... You know how key strokes sound over a speaker phone, right? CLICK CLICK ... "Oh!".. Tap Tap Tap... CLICK CLICK CLICK. I've always wondered if the people on the other end of the phone took a moment to look at each other about then. :)