Not unless the salinity level was overly high to begin with. Normal salt range for most systems is from 2,600 ppm to 3,600 ppm, lower than the salt level in your tears. I use my salt water waste on my grass, and it is thriving!!
If your equipment is malfunctioning, and your salt level is 'overly high', then it could possibly kill your grass. The Romans 'salted' the fields of their conquered enemies to prevent them from being able to use the fields again, an effective trick.
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