This question is aimed to TRUE Elec Engineers, not fuse or wire directionality believers.

Battery anatomy/specs aside, the driver was working, prior to being connected to a 33uF, non-polarized film cap and a C cell. It was reading 6 Ohms(correct nominal, according to the tweeter’s label), before it opened up. Imagine what(perhaps) 80VDC, would do. The tweeter had been sitting on a shelf, for the past 20+ years. My son blew the other, clipping his amp into a pair of Quart One bookshelf speakers, back when he was a kid. Not a big loss(at all), but- thanks for your condolences .

the driver was working, prior to being connected to a 33uF, non-polarized film cap and a C cell. It was reading 6 Ohms(correct nominal, according to the tweeter’s label), before it opened up.

1.5V across 6 Ohms = 0.25A or 0.325 Watt

Back EMF?
or
Is the capacitor fully discharged before connect to the tweeter?

1.5V across 6 Ohms = 0.25A or 0.325 Watt

Correction:
1.5V across 6 ohms = 0.25A or 0.375 Watt

I think the current is pass through the tweeter voice coil and charge up the cap, if there's 80VDC the voice coil will blow in seconds.

Conducting an experiment(yesterday) with a Speakerlab W1048P, 10" woofer(two layer, 2", 10mm overhang voice coil, 200W power handling), with only the C cell and 33uF Clarity ESA, produced a pronounced pop, at the moment the battery was connected(iow: a DC voltage spike). The first time I tried that with the tweeter(cap/C cell/tweeter/in series), the spike was sufficient to take out the tweeter. Removing the battery and discharging the cap into the driver, produced the same transient(rhetorical). As far as the amount of juice, provided by a C cell: without the capacitor, it was sufficient to hold the woofer at it’s full, linear(10mm, measured) excursion, as long as I kept it connected(also- rhetorical, but- the tweeter couldn’t take it, even through the cap). Wish I hadn’t sold my O-Scope. I could measure the transient’s actual time/voltage(if frogs had wings....). I have little doubt, variations in capacitor values(uF/VDC), would alter the results(at least regarding duration).

My apologies to the OP, for the departure from their basic query.