Don't think there is much debate that a capacitor should be properly selected based on application. Bateman's work showed electrolytics introduce noise. He stated electrolytics were not a good choice in loudspeaker crossovers, poly caps a better choice. While I do not believe all "audio grade" caps are better simply due to the label attached, quality does make a difference.
Started with a pair of speakers the designer matched and sold only in numbered pairs. Drivers were tested and matched. Crossover component values were matched/tuned to the drivers. The enclosure/driver/crossover configuration design process included all the standard response tests and listening evaluation. Reviews universally positive and still in demand on the used market today. Point being, started with a pretty good pair of loudspeakers.
The original intent of making any change was a simple refresh. The designer of the speaker suggested after 10+ years electrolytics can degrade, so replacement with a poly cap would be good. To confirm whether changes might result in an audible difference (good or bad) one speaker was left untouched as a baseline. A modern inexpensive poly cap replaced a Bennic "audio grade" electrolytic. The removed capacitor was measured and compared to the crossover design value. Exact match. The replacement poly was matched to the measured and design value, both the same.
There was an audible difference between the two speakers. Unexpected, but real. After a few hours of listening comparison determined the audible difference to be a positive change. Additional Incremental changes were made to the single speaker with hours of listening comparison performed each time. Same source material, same level, same listening position, same room conditions, same, same, same. Every change did not turn out positive so I strongly discount expectation bias. Ended up with all high quality poly caps not promoted by the manufacturer as "audio grade". The difference between the baseline and modified speaker was so great, even the eye-rollers could hear it.
No doubt, the naysayers will remain. Nay all you want, will not shake my confidence one bit. My hearing has been tested as equal to the acuity of a 15 year old. Took the Klippel noise differentiation test, much better than average at -51dB. Level 8 on the Harman listening test.