What’s his first name? The only Bishop Gardiner I know of is Stephen Gardiner, but he died in the mid-sixteenth century, so he would not be commenting on the KJV.
It would not be surprising to find Latin Vulgate words in the KJV since everybody was reading the Vulgate at the time; moreover the translators of the KJV consulted the Douay-Rheims translation when they did their work.
Subsequently, when Challoner revised the D-R at the end of the 18th Century, he borrowed heavily from the KJV in return.
I hope someone responds who has more to say than I have!