Can one say " the" form of a reasoning? ( About the " valid form" approach to validity).

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Sometimes one reads things such as : a reasoning is valid iff the form of this reasoning is a valid form.

References : Klenk, Understanding logic

This leads to thinking that the fact each reasoning has a form, a " unique" form is crucial.

However, in Peter Smith's introduction to logic, I read that one cannot properly talk about " the" form of a reasoning; every reasoning instantiates many forms.

In that case, is the idea of " valid forms of reasoning" useless?

Is the " valid form" approach to validity correct?