Yes, but....After you have tuned two loads from scratch on the same rifle and you get what you are looking for, have you ever seen any similarities on the target as to what the rifle likes?
There are several cartridges and loads that are "standard" meaning they work well in that cartridge in almost any rifle. In fact one factory load is kind of a benchmark for accuracy in 308Win and that is the 168 FGMM. BUT, there have been cases where this wasn't the most accurate.I'm not even sure this is what you're referring to but yes, you can learn a lot. We've all seen charge "windows" and good powder options for most any given cartridge out there. Very often, very near the same load does work in different bbls/guns of the same chambering, particularly if the same reamer was used. That often gives a good starting spot for seating depth. Sure, you may well need to adjust any or everything a bit but sometimes not at all, too.
Examples..30BR and 34.5gr h4198 112-118gr
6PPC and 29.5 of n133 68gr
6BR 30.0 varget w a 105
22-250 and 36.0 IMR 4064 52-55 bullet.
The list goes on but you don't know if you're getting the full potential unless you tweak even a good combination.
Also, none of those are starting loads. So, work up before going straight there.