Do electrolytic caps need bypass?

[Fixup]

This might be an old question, but I have something new here.

I opened a Panasonic FM 1000uF/6.3V. I believe FM has the latest technology, because this series is only 1 or 2 years old. FM has so far the lowest ESR and highest working frequency among similar aluminum electrolytics.

As you can see from the picture, the two leads are placed at the middle of the two foil strips. This way, high-frequency signal has a very short path. The major inductance is indeed from the two leads only, as pointed out by many recent articles.

So, my question is: when we use such an ultra-low-ESR cap for power bypassing, do we still need to use a film or ceramic to bypass it? Note the ESR is only 0.04ohm.

Many articles have talked about the ESR and ESL issues about electrolytic caps related to traditional bypass and paralleling techniques. They claim that there is no need to bypass these new electrolytic caps. Even worse, resonance will happen due to the very low ESR of these new caps. But none of them is based on an internal picture. Does this picture add more support to those claims?

[FastEddy]

Probably not, butt

... running a plastic / tantlum / ceramic / other type cap in parallel with the 'lectro types is good for some applications (like the downstream side of a voltage regulator or PS feed on to circuit boards) = thus "snubbing" the bigger cap = brightening it up = better high freq. (HiFi?) response, sometimes.

... butt you knew that, already.