I replaced both caps on both audio crossovers this WE. The speakers work again. The capacitance on the replacement 4.7µF caps was also a little high but still within spec - according to my DMM (~5.41µF). On my LCR meter the replacement caps measured 4.769 µF, ESR 1,7 Ohm at 1kHz, 4.499µF, ESR 0.28 Ohm at 10 kHz.
@Kleinstein I tested dielectric absorption on one of the old Teslas, hooked it up to a DC power source at 50V, disconnected power, then discharged the cap for 5 seconds. After 10 minutes (the DMM was disconnected during the waiting period) I measured a voltage very close to 1V.
@bdunham7 I also measured leakage current of the presumably defective Tesla caps. When fully discharged I measure around 4mA right after turning on the DC power source. This value drops to 1-2 mA after a couple of seconds and below 1mA a bit later.
Semi-Off topic question: The old caps were glued to the board with some kind of black glue. Apparently this stuff turns soft when applying IPA, still it was a real hassle to get the caps off and involved IPA, knife, screwdriver and finally twisting the caps off with pliers. Has anyone encountered that black stuff and knows a better method to remove it?