Hey sorry I just saw this.
If I was designing a power supply/amplifier from scratch, I would pick the UCC capacitors (make sure right terminal type) --- lower ESR, lower dissipation factor, higher temp, longer life, higher ripple current rating, same price as the Nichicon audio capacitors .... all those features you want in a good power supply capacitor. It will provide a more stable power supply, longer lasting power supply if that is your goal.
Lower ESR on the other hand means larger current spikes when the capacitor is charging at the peaks of the AC waveform and I don't know how the designer dealt with these and the EMI they create (if they did at all - it adds cost). It also means higher delivered current (at higher frequencies) to the output stage ...generally good, if the amplifier is designed for it.
The Nichicon audio capacitor you listed does to have a compatible PCB mount. Check closely in the spec. I don't think it will work. You can pick a different one that will though.
If you like the existing sound, which is coming from what appears to be degraded capacitors, then the electrically "softer" Nichicon are probably going to be more to you liking. Me personally, I would put in the 22,000uF that are in the same size, ensure I have a slow blow high I2T fuse to prevent fuse damage (from inrush), and hope for the best (and then work through the consequences).