I did the same test of "conventional" vs "climb", but with bigger tags. These were programmed as "tag width" = 10mm, so the tags should have been 5mm deep. I measure one, it was 4.97mm deep.
The following measured at about 5mm below the top:
x width = 19.82mm
y width = 19.83mm
x width = 20.09mm
y width = 19.97mm