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After adding line

MsgBox ("Real solution found - " & face.Evaluator.IsParamOnFace(params))

before " 'get point on surface at param" I'm getting 

"True" - for "NORMAL" IPT-sample 

and

"False" - for "FAULTY" IPT-sample 

...thus face.Evaluator.ParamRangeRect is for blame?

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