An incident over the weekend saw the attempted theft of rails around part of the children's play area in the park off Wright Crescent.
But Coun Dick Wraith said even though CCTV cameras covered the area it would be unlikely the culprits would be caught given the previous failures of the cameras.
He said: "We don't seem to be getting anywhere with them.
"We were due to put some more money into the cameras but we have never caught anybody.
"If we are not getting results then I don't see the point of having them."
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