I guess it could, but I don't know how you'll get the mud worked into the cutback cavities properly to make it worthwhile. You would need to use thinset to properly fill in the cavities and bond the mud to the Ditra. Of course, you'd also need thinset under the Ditra.
Around here, metal lath is only 50-60 cents a square foot, about 1/2 to 1/3 the cost of Ditra. Of course, you don't have to use roofing felt underneath, you can use plastic of any type. Its purpose is to keep the plywood from the drawing the moisture of the mud. You can use some cheap painters plastic or even a garbage bag.
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The top ten reasons to procrastinate:
1.