Maybe we already know everything about the dataset. For example, if it's line-of-business customer data gradually built up by a sales team, then the brains of the salespeople have likely already done all the "implicit classification" needed to generate good questions about the dataset.
And this is, by far, the usual scenario for Business Intelligence questions: someone with "business-domain knowledge", e.g. an executive, has formed an intuitional hypothesis about the data based on their personal experience; and so they ask someone with "data-domain knowledge", e.g. a business analyst or data scientist, to test that hypothesis.
It's actually rare, in my experience, to have a tabular-data dataset that someone is motivated to understand, that doesn't also "come with" a set of people who can already act as (good!) models trained on that dataset, to aid them in that understanding. (Sometimes these people can't find each-other — but they do usually exist.)
AFAIK, having reams of entirely opaque and ill-understood tabular data, such that you need classification/clustering to get started on asking questions, only really happens in the sciences: sensor-network climate data; longitudinal-study medical-outcome data; census data; housing-market data; etc. In other words, it's almost always universities and governments — not businesses — that care about analyzing opaque tabular data.
And that's a key to understanding the constraints in play for choosing models! Because business-driven analyses are usually time-constrained in some way (potentially even needing post-training question-answers to be generated in soft-realtime); while institutional analyses usually aren't. Big difference!