The Response on Jeff's Gloves says "after you play a block", NOT "after you play a card AS a block"
...so....
?
Jeff's Gloves - a "block"?
The rules have for a very long time specified that any response that responds "after you play a block" is referring to blocking with a card during the block step.
This goes all the way back to SC01
Feel free to check out section 8.3 of the AGR, specifically section 8.3.2 the Block Step to see if that provides more details to the answer from your question.