ESR of capacitors is usually negligible in problems like this.
Isn't - if you neglect the ESR and assume it's zero, then you get that
two connected capacitors will have infinite impedance between their
zeroes and will always fail to filter at that frequency no matter how
hard you try. So if the clock frequency hits that point you can throw
the device away - it will not only enormously radiate but stop working
because the noise on the power line will build up until the gates burn
out from overvoltage.