i have Dupuytren's contracture in right hand and beginning also in left...

so i have padded cork on my Peugeot 'daily' bike

.
however - just bought a set of Guidons Philippe bars from France for
#1 Peugeot
and i feel thick cork tape will be wrong
looking at your all C&V bikes you appear to use good quality tape [cotton.?]
i assume the bar-tape is wound up to the 'lip'..?
any suggestions welcomed
regards................john
EDIT
with such a lip - would you wind
from the lip down to the bar-end, and so not have to use a finishing tape..?