"Success" is just a a smarmy word for "sales and support".
customer operations is probably the short term customer interactions: support tickets, integration support, help desk, etc.
If I -also- recall, When I did an Auth0 integration (a few years before that) I worked with a similar 'Customer Success' specialist while evaluating for an integration.
I think this is the trade-off that's happening; By putting integration support under a 'marketing' budget rather than a 'support' budget, it allows for a happier adopting customer base.
I must add however; those examples stand out to me not because it was 'sales-y' but because they were extremely memorable times of a vendor team working very hard to lead our teams into a pit of success. The best analogy I can think of is the difference between someone on a call giving a vague phrase you have to search through API docs for, vs a direct link to documentation complete with verbose-yet-sane examples.
Customer operations: ?? No idea never heard the term