Bill,
When I made tambours for appliance garages in my kitchen island, I glued the slats to fabric (cotton duck). It works very well and has held up with no problems for about 10 years now. I have three other older tambours that were made the same way (I didn’t make them) which are working fine as well.
I didn’t buy tambour track, but instead just routed a dado. I stopped the fabric so that it does not run in the dado. (I was afraid it might bind.)
I chose the fabric because I just couldn’t imagine the nightmare of trying to line up all those tiny holes . . . and then what happens when the cord breaks a few years down the line? I made my slats to run in a 3/8" dado so that would have given very little room to drill.
This is just my opinion but I hope it might be helpful to you.
L/W
“Those who would give up essential Liberty, to purchase a little temporary Safety, deserve neither Liberty nor Safety.” Benjamin Franklin