Acidity damages vinyl liners; chlorine bleaches them. Trichlor tabs are a highly acidic form of chlorine. So, yes, it both bleached and damaged your liner. Will it be enough damage to cause problems?
That, I don't know. Usually liners fail at stress points or seams, not in unstressed flat areas.
But, it would be a good idea to keep a liner patch kit on hand. That way, if you do get a hole in the liner -- where ever it shows up -- you're ready to go.
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