Remove any tool that requires students to create accounts before you compare accuracy. Eleventh graders are usually minors, and a detector should not create a second set of student profiles, consent questions, or terms-of-service problems just to produce a probability score. The cleanest setup is a district-managed teacher account where you can submit de-identified text and delete it yourself.
I agree with @aitiger3888 that privacy review belongs above the individual teacher level, but approval alone is not enough. Ask what happens when the vendor updates its detection model. The same essay may receive a different result later, which matters if a score becomes part of an academic-integrity case. At minimum, the system should record the date, detector version, exact text checked, exclusions applied, and result. A screenshot of a percentage without that context is weak documentation.
I would avoid automatic LMS scanning even if the feature looks convenient. It sends every student’s work to the service, including papers you had no reason to question, and it can encourage teachers to treat the score as routine grading data. Manual checks take longer, but that friction is useful. It forces you to have an actual reason for running the text.
There should be a student-facing procedure too. If a passage is flagged, the student needs a way to respond with drafts, browser or document history, notes, source annotations, and an explanation of revisions. A polished essay from a student who normally struggles is worth reviewing, but improvement itself is not evidence of misconduct. Tutoring, speech-to-text, translation support, grammar software, and heavy revision can all change the surface characteristics of writing.
So my practical answer is that the “best” detector is the district-controlled one that works without student accounts, supports immediate deletion, identifies passages rather than issuing only a document-wide score, and keeps enough technical information for the result to be reproduced. If none of the available tools meet those conditions, I would skip the detector and spend the budget on a writing workflow that collects outlines, drafts, and revision history. That produces better authorship evidence and is much easier to explain to a parent than an opaque percentage.