Regardless of whether you consider yourself an imposter, do ask clarifying questions! They are generally expected from candidates. If you're not asking them, you're probably hurting your chances. Source: I interview lots of candidates for SWE positions.
Questions are often under specified for exactly this reason: to test ability to ask questions when necessary. Even if the problem is fully specified, asking clarifying questions is considered a good signal in any interview I've ever conducted.
Unless you deviate from the script the [incompetent] interviewer expect, in which case, you are toasted.