Disclaimer -- wiring and circuitry and how electricity works are, to me, second only to synchronizing 2+ carburetors on the same engine in terms of the Dark Arts.
Over the summer, I had my Strom in for the stator and tappet recall. I am the third owner of my bike. How would I know if I have one of those doohickeys connected to a thingamabob, or if none present, what should I install* to help extend the stator life?
*or have installed. I did install one of those video doorbells on my house, all by myself, this past weekend and it actually works. I even successfully used a multimeter to measure voltage at the doorbell button so I knew which wiring diagram to follow at the transformer. However, this is the extent of my talents with electrical stuff.
Assuming that by "one of those doohickeys connected to a thingamabob" you mean a series regulator installed by a previous owner: If the dealer (or authorized repair facility) did the stator recall service without mentioning discovery of a non-stock regulator, you almost certainly have the stock, shunt regulator.
Depending upon how many miles are on the bike, and your taste or opportunity for battery charging failures far from home, the regulator replacement may
not make sense. If there are many miles on the bike and on the stator just removed this summer, you may be among the fortunate portion of the DL-650A owners whose magneto has average or weaker than average rotor magnets, which reduces stator heating. (This is one of the least-controlled variables affecting stator life.) If that is true, (which is difficult to be sure of without removing the rotor and making some measurements of magnet strength), your stator may
last as long as the bike runs. The newer stator design may
have higher temperature wire insulation, or some means for better conducting heat from the windings to the laminations, yielding enough margin improvement (even if the margin is still negative) to get the stator longevity comparable to typical overall bike longevity. So I cannot say that you have to install a series regulator to avoid stator failure. If you just ride close enough to home that having to haul a dead bike back is an acceptable inconvenience, continuing to "rely" (ha!) on the stock regulator may make sense for you.
What I can say is that when I contemplated buying another DL-650 for use on the opposite coast of the U.S., I counted, as part of its cost, the effort and expense of installing the series regulator. As an electrical engineer, I cannot countenance running the stator at the 30+ Amp current level that design (with the shunt regulator) necessitates, regardless of the recent stator design tweak.
There are plenty of words and pictures in this forum showing how to do the replacement. If you look them up, I am sure you will see it as within your capability given that you're willing to tackle some wiring and use a meter.