Divisibility sequences of polynomials and heights estimates

In this note we compute a constant $N$ that bounds the number of non–primitive divisors in elliptic divisibility sequences over function fields of any characteristic. We improve a result of Ingram–Mah{'e}–Silverman–Stange–Streng, 2012, and we show that the constant can be chosen independently of the specific point and to some extent of the specific curve, as predicted in loc. cit.