I've never used a DMT but on 1000 grit paper I've only had one instance where I wore through the tape.
When I was removing a huge chip, I took a measurable (with a ruler) amount of metal off the whole length of the blade on the 1000 grit paper and went through only two pieces of tape in the process. If you have that many strokes to do I wouldn't worry about wearing through the tape. You are using it at that point to simply protect the razor while you remove a lot of stock. I wouldn't even consider this setting the bevel, its chip removal plain and simple. Add new tape once the edge is free of imperfections, then you'll be setting the bevel, and you probably won't wear through that piece until the razor is shave ready.