I think I can answer this question partially from a slightly different stand point.

We host (the fully managed kind) several clients' projects (small and medium). It isn't atypical to have some clients hire us for server "management" as insurance. Meaning we only dive in when something awry happens to their stack and they need that jack-of-all-trade tech who can pinpoint the culprit quickly. ~$30/mo as insurance is peanuts compared to potential revenue gaps.

Others want a turnkey solution where we document the details of their stack and we manage the ops part in coordination with the dev. I think this is where the most value is captured by our clients.

There are other interesting outlier cases but it's likely OT :)