First, I will say that much like Audio Cables, there is a lot of Snake Oil in the discussion of XO Components, especially Capacitors. I do not accept that an $80 Capacitor impregnated with silver oil or whatever will magically change the way a speaker sounds compared to a good quality $5 Capacitor.
Now, you have 4 Polarized Electrolytic Caps on that board, and those are the Caps I've been told to avoid for various reasons. If they are bulging or leaking, they must be replaced. If you were to replace them with good quality Metalized Poly Caps, you would e fine and have an XO that should last a very long time with no concern of component failure.
FWIW, I used
Audyn Q4 Capacitors in my recent build. They came to me highly recommended by both hobbyist and professionals.
Inductors are a little different and how you approach them can be tricky. Almost more important than anything is placement and orientation of the Inductor on the board in relation to other Inductors. Air Cores are generally preferred, but can get overwhelmingly large and heavy... and expensive. While many are concerned with Saturation and Iron Cores, I have seen arguments on both sides with one respected voice saying that saturation really shouldn't be a concern for most listeners. I do not have an opinion here, however there is another more important aspect about inductors that has to be considered if you go switching components: the DCR value.
Most Solid Core Inductors will have a lower DCR than an Air Core. That change can add up and affect the performance of the speaker. That said, Laminated Steel Core Inductors are likely the better option for being concerned about Saturation, they are still inexpensive compared to some of the larger Air Cores... and they work. I've seen these in Boutique Speakers: there is nothing wrong with them.
In the end, it comes down to what you really want to do, and whether your pockets are deep enough.
More importantly, remember: this is just a signal path for electrons. It's not Kobe Beef that needs to get massaged with Sake.
Electrons just need a path of good conductivity.
Sound Quality comes from the individual Drivers in your Speakers. Those, the design and build quality of the Cabinet, and the interaction between the overall Speaker and the room. If you are finding yourself unhappy with your Speakers...
Get new speakers!
Going in and playing around with all the other stuff is frankly a futile rabbit hole.