Should I upgrade my Advent 5002 speakers?

Should I upgrade my Advent 5002 speakers?

Yes, you should.

I am a huge fan of the Large Advent. Henry Kloss worked some magical engineering into the voicing that still amazes people today. That said they are not the last word in definition and dynamics. Time moves on. Footprint and architecture-wise the SourcePoint 10s bear more than a little resemblance to the Advent, from the 2 Ft3 box to the 10-ish inch woofer and slightly oversized tweeter to enable a lower crossover point. All straight from the Advent playbook. I have admired Mr. Jones work for a long time, and he doesn't do sloppy work.. But, there is another speaker i would seriously consider: the Monitor Audio Silver 500 7G. There are several reasons why Stereophile put this on their Class A list, at a price about 10-20% of most of its peers.  It is really, really good overall. It is accurate, dynamic, has great bass extension, is pretty easy to drive, and is simply provides a listening experience to which you want to return - often. Although a tower, it takes up no more room than the SourcePoints on their obligatory stands.

Rather than repeat what others have said, for both speakers, read the reviews, and find a pair to audition. 

I believe that there ar 2 caps, 2 coils and 1 resistor in the 5002's.  Replace the 7uf and the 32uf electrolytic with a decent mkp (polypropylene).... Even cheap mkp will be an audible improvement over the 40 year old electrolytic. I believe the resistor is a 3 ohm wire wound.  Grab a 10 to 15 watt non or low inductive resistor and replace that also while you are at it.  It won't make as much of a difference as the caps, but on decent equipment, is still audible.  Leave the inductors (coils).  After you do this inexpensive upgrade, then make the decision to replace or not. I hope this helps,  Tim