Even if it is the identical gear, you probably would get the same value but you are sure that it is correct since you calibrated it.
On the other hand, not doing the calibration because you think it is the identical gear you could get over or under extrusion and are wondering why it happens because "it should be the same gear" and possibly look in the completely wrong direction trying to fix the result.
There is not really any harm in checking and being sure instead of assuming and then having to deal with the result.
You should look into a dual gear extruder. They're a slight upgrade from this kind and do a lot better without wearing out. If you want a bigger upgrade though, look into a BMG clone. It's great for direct drive if you decide that you want to do that at some point. It has a 3:1 gear ratio so you'd need to adjust e-steps, but it's really efficient.
If you need an upgrade (or want, heh.)… I doubt you can go wrong with microswiss. At least, I never have. (Their nozzles are my bread and butter, too)
Micro Swiss has an amazing dual gear for Bowden tubes. They’re advertised as fitting creality machines but they basically just sit on top of the motor, so as long as your motor is the same size you can make it work.
Of course any of their direct drive extenders are definitely worth it