I think that this issue is potentially moot if you've transitioned to immutable deploys. Under such a system, arbitrage steps would tend to change from the standard have an SA/Dev ssh in and muck around until the issue is found. Instead, first step may be just redeploying (in case of transient/intermittent issues that are disrupting service), and then checking out the production system locally to do root cause analysis.
So yeah, most organizations couldn't do this today, because they don't have the deploy process in place. But when an organization has made the switch, then it is much more realistic to assume that it can get along without granting ad hoc ssh access to production systems.