Static-sensitive high-precision resistor?
I wouldn't discount it.  Precision film resistors rely on laser trimming or very fine and precise film control.  Both of which could lead to local film breakdown under high current.



Edit incorporated from comments:


  Designs requiring a 0.1% precision resistor, or even two or more such resistors in ratiometric arrangements, would typically be much more sensitive to value change than less precision-dependent designs, thus it's a bigger concern: If one resistor in a set gets changed by ESD, the rest of them wouldn't be changed by the same amount, so nasty and mysterious problems will ensue.