I'm new to this thread. Today I had to pop the terminal cup off of a Celestion 5 to tighten a loose terminal. I ended up putting big toothed washers on both terminals on both speakers so tha twouldn't happen again. I hate a loose terminal. The tweeter pass cap was a 4.7uf Bennic NP electro. I tossed them and glued in some generic mylar box caps in their place. Soldered 'em in and screwed it back together. Honestly, I don't know if this actually makes a difference, but the speakers are at least 15 years old and no electrolytic ever made equaled a mylar of the same value at high frequencies, especially after a decade and a half. I just toss the electrolytics as a matter of course every chance I get. I left in the NPE parallel cap on the woofer, not having a 6uf NPE handy. That should probably go as well. If it loses capacitance or gains resistance with age, the woofer's passband will rise into the tweeter's and might cause audible effects in the overlap range.
In my considerable experience with vintage speakers, a lot of what we consider the 'mellow' sound of vintage 2-ways is out of spec tweeter pass caps. They're mellow until the crossover is performing the way the designer intended, then they brighten up and sound new again. I say 2-ways because a tweeter with a lower crossover will have a larger cap. A larger cap will be more susceptible to aging effects that would affect the treble, or so goes my thinking. I know it improved my AR3a's, KLH 7's, Large Advents, Small Advents and many others.
Any design that depends on the parasitic resistances of a capacitor for its 'voicing' is a defective design.
Come to think of it though, maybe that's the answer to an old mystery. I had a number of Unity Audio speakers when that company was operating here in MI. One of them, the Signature 3 I think, ran the woofer fullrange and had a simple tweeter crossover consisting of a 6uf cap in series with each tweeter lead, essentially 2 6uf caps in series for 3uf effective capacitance. He called a 'balanced' crossover. Bob Grost is a very smart dude and I suspected he was up to something. The series inductance of 2 6uf caps is probably 4 times that of a single 3 uf cap. That might be useful in damping a HF peak in the tweeter. Only reason I can think of that isn't complete snake oil.