The only undesirable reaction would happen after about 4 days or so. The fresh thyme just won't hold up and the flavor will start to fail.
I agree with Andy in that 2 - 3 hours tops for marinating. The marinade should enhance, not overpower. Also, the recipe says to toss the cooked product with the reserved marinade - so that will be even more flavor added.
"Count yourself...you ain't so many" - quote from Buck's Daddy