I think only the yellow damper might get rid of that 1khz peak to a certain degree. You could try and see if using 2 yellow dampers in series (in the same tube) does the trick.
Having a low pass filter is probably more aggressive but effective.
I'd prefer not to use dampers though, as I usually don't use a PVC/Silicon tube Seems like the value of the cap on the low pass must be quite big for it to be effective.