If you plan on entering a calling contest rather than hunt turkeys, sure, you should keep searching for that perfect call combination with which you can duplicate that sound. What works for one caller will not necessarily work for you, however. In my opinion, too many people try to duplicate "contest caller" yelping,...and very few can do it. It is also completely unnecessary in turkey hunting.
Anybody that has listened to many turkeys in the wild knows that, just like humans, every one of them has a different sounding voice. True, some of them do the "contest caller" yelp, but many, many more of them will do something else altogether. The trick is to find the sound that the turkeys you are calling to at any given time want to hear.
To me, it is better to be able to use a variety of calls to duplicate as many of the types of yelps (and other calls) that you hear from turkeys in the wild.
As to your direct question, I do think you are overthinking it,...not in terms of wanting to be the best caller you can be,...but in terms of feeling like you should be striving to duplicate one particular sound. For hunting purposes, it is not needed.
Finally, in searching for that perfect sound, whatever it might be, it is often the call itself that determines the sounds that you can make. For instance, you can buy ten calls of the same type from a call maker and you might have one or two out of the ten with which you can get the sound you want. It is just a fact of life with mouth calls. The only one that can give them a "test run" is the one guy that puts it in his mouth. ....Most of us do not want to use mouth calls that have been for a test run....