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A variable is a variable and a parameter a parameter, regardless of the model being linearized or not. It seems your confusion derives from defining a model in general. Please consult the user guide and the examples delivered with Dynare.
After looking at the other questions, I would like to ask why we should write a variable as parameter when the model is log-linear? I havent read it in the manual.
I am not saying you should write a variable as a parameter. I am only saying that in log-linearization you sometimes need steady state values or other coefficients as parameters in front of the variables and you must not treat those coefficients/parameters as variables.