This is not an uncommon result with any of the Rodeos I've owned in 38 and 45. Using just typical factory ammo.
The target above is one reason so many think, 38 Special is "special". 24 rounds of 125 gr flat nose bullets @ 875fps from a sand bag rest at 20 yards, shooting POINT of AIM, out of this Long Hunter smithed, 5.5" USFA, Rodeo. I have a pair of USFA 32-20s that will do much better and several .45s that are every bit as good as any of these and one in particular that is simply spectacular. You might get a lemon from USFA (I've had two total) but chances even a Rodeo will shoot better than most owners. If you stack bullet upon bullet at 10 yards @ POA I figure you have a damn good SAA.
Check out this .45's targets
Three cut cards with 3 consecutive shots at a distance where my eyes can barely see a card's edge in bright sunlight. A feat I had never done before with a SAA. Sure you have to be able to shoot. But first you have to have a gun that is up to the task. Many/most SAAs, no matter who made them, simply are not up to the task.
Here is a typical 3rd Gen Colt test target (I've done losts of them) before and after smithing and turning the barrel....in general they (Colt's) suck by comparison without a little or a lot of work to get them to shoot POA.
Here is the 2nd gun in that pair which wasn't any better. The before and after shots make it clear enough what a Colt is capable of and how they generally arrive from the Colt's factory.
Also worth noting in the last picture there are targets from 2 different bullet weights and 3 different bullets shapes pictured. 255 round nose, 255 SWC and a 200 rounds nose. Even @ 10 yards you can see some difference in POA/POI. But it isn't anywhere near as drastic as some would have you believe. Same in 9mm, 38 Special, 44 Special, 10mm, .40 and 45acp as well. Different bullet weights generally just string the rounds vertically...not as drastic in the changes for windage in my experience. The extemes like a 90gr 9mm and a 147gr 9mm will have a bigger difference in POA/POI. Just as a 165 and a 255 in .45 Colt will give you a big change on POA/POI. If you aren't shooting bullseye matches on paper or small game it is likely not to matter too much. 20" gong in SASS at 15 yards isn't likely to be missed even with the worst SSA I have seen if the sights were on target when the trigger was pulled