5 sourced reports, with what to check before you buy. Each one links to the page it was reported on.
Costly or dangerous
ANC on Jabra Elite 10 appears to make no audible difference (owner reports possible defect)
An owner on the ComputerBase forum reports hearing no difference between ANC on and off on the Elite 10, and a fellow poster concludes such units are defective and should be exchanged.
What to check. If you buy and ANC seems to do nothing, verify the app firmware is current and try a firm reseat; if there is still no audible difference between ANC on/off, treat it as a likely defective unit and exchange under warranty rather than accepting it.
ANC picks up wind sound and sound seal is poor (owner reviews)
Aggregated owner reviews report the ANC picks up wind noise when windy and that the sound seal is poor across all eartip sizes, making the buds hard to use without ANC.
What to check. If you use these outdoors or on public transport, expect wind noise to leak through ANC and a weak passive seal; try all eartip sizes, but be prepared that the seal may still be insufficient for your ear shape.
Earbuds fall out during movement / fit instability (owner reviews)
Amazon UK customer reviews report the buds fall out with slight movement and that the eartip material is not grippy, making them unreliable for sports or active use.
What to check. If you plan to exercise or move around with these, the fit may not hold; consider whether a more secure earbud design suits your use before buying.
Slight masking hiss in noise cancellation mode (professional review)
PCMag's professional review lists a 'slight masking hiss in noise cancellation mode' as a con, independently corroborating an audible artifact in ANC mode.
What to check. Expect a faint hiss under ANC; if you are sensitive to background hiss in quiet environments this may bother you, and it is a known characteristic rather than a defect you can fix.
Jabra firmware updates address wind noise and ANC-on-call performance
Jabra's own support page lists firmware updates specifically for wind noise reduction in ANC/HearThrough and ANC-on-call performance, confirming these were acknowledged issues being patched.
What to check. Keep the firmware updated via the Jabra Sound+ app; some ANC/wind-noise complaints may already be improved in current firmware, so check for updates before judging the unit.
These reports come from the pages linked under each item: owner forums, repair guides and workshops. They are not a diagnosis of any one unit, and a careful check of the one you are buying still applies.
Text from the Kriko Premium earbuds catalog, version 0.1.1, under the CC-BY-SA-4.0 license.