Is it just me who can hear the audio on the actual question, but not in this comment section? Weird...
Is càise from a Germanic root? Käse is pronounced the same.
No, and neither is the German word. ;-)
They’re both from Latin cāseus; the English cheese and German Käse come from old Germanic borrowing kāsī, the Gaelic word from Old Irish borrowing cáise (cáise in eDIL).