I have done this with Kevlar fishing Line. The issue you will have is that as it wind the wire position move. My test rig which used a 1/4inch 20tpi threaded rod the wire move about 1 inch side to side per every 13 inch of lateral move ment. this Side to side movement affect the geometry. unless you did like i did which is to put the drive at the gantry. and put the attachement of the cable to either end of the table and offset them accordingly.
My Machine used fishing lines, which can only handle 60lb per line with 250oz inch Motor the line will break befor the machine lost step. This is more then likely caused partially by the tension on the line. Also at about 10inch per sec Acceleration the line will break. My machine has a 50lb gantry and I used 4 lines when i did this test.
The machine with fishing was capable if runing a 1/4 router bit with 1/4 inch deep cut at 45 inch per min on ply wood. as long as the accel was low. And Rapid is in the range of 250 inch per min.
But after all this I thought it was a perfect cheap system for somthing like a 3D printer.
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