There seem to be broadly two types of people. Those who tend to ask "what's the evidence for this theory?" and those who tend to ask "what theory is the best explanation for this evidence?"
I think the second one is more fundamental. We usually ask a question of the first kind in order to answer a question of the second kind. We are mostly not interested in theories for themselves, but only insofar they explain some observation.
E.g. we are mainly interested in relativity theory because it successfully explains a lot of phenomena, rather than being interested in phenomena because they confirm relativity theory.
The second question also fits the epistemic direction. We don't start out with a theory which we then try to confirm or disconfirm. We usually start out with a lot of evidence (observable facts), and only afterwards do we try to find theories to explain this evidence.
If we seek new evidence it is usually to distinguish between multiple competing explanations of the evidence we already have, or if we think the available explanations aren't very good and might be wrong.
Only thinking about the first question can also lead to confusion about strength of evidence. From the question-one perspective we may ask: "Is there weak or strong evidence for theory X?" But what does "weak" or "strong" mean here? Weak or strong compared to which alternative explanations? The real question is whether theory X is a good explanation for the evidence it tries to explain, and a major part of this consideration is whether or not there are better alternative explanations.
To be sure, questions of the first kind are often sensible, but they can be misleading if we lose sight of the corresponding question of the second kind.
That's so interesting. Such a very different view of science from mine. I feel like it seems like there's a lot of data sometimes, but then getting down into the weeds on some particular narrow question and suddenly I always give myself lacking the exact data I would need. Or a new method or tool opens up a new type of data...