Hey there,
I'm literally having the same problem and it's driving me absolutely insane. I see that the data is being properly sent to the webhook, and then the email gets triggered, but for some reason I can't figure out why the variables are not being properly mapped from what the webhook receives to the content of the email.
I just want to bump this, and if you've figured out a resolution, please let me know. I submitted a ticket to the Make support team as well.