I have a T2 and have used a number of 'no-name' thumb drives in it and never once had a problem. However, I don't think any of them were over 16gb or had a large number of files on them, so if that's what is causing the problem, my experiences wouldn't apply. In other words, it probably has nothing to do with actual drive compatibility.

chas
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"Faith means not wanting to know what is true." [Nietzsche]