It is your rifle, and you can certainly do what you want, but:
Now as far as collectability goes, I don't feel like a rifle with at least a million others just like it out there is going to have much collectibility, (if that's even the word). That's just me, no offense intended.
"collectibility" is a sliding scale.
In the 50s, Mausers and 1903s, were dirt cheap and widely available. They had "no collector value".
Now, matching K98s start at $1000, and even ratty Soviet capture reworks are going for $4-500. By the way, there were about 14,000,000 K98ks made between 1935 and 1945. By your logic, they are not collectible.
1903s and 03A3s start around $700, and go up from there. There were about 3,000,000 made, all variants. Again, by your logic, not collectible.
Right now Mosin 91/30s are going for about $200, and there are a fair amount of them out there. Three years ago they were about $100, and they were everywhere. Then again, it was only about 5 years ago M38 and M44 Mosins were selling for about $100. Now, if you can find one, they are north of $200 for M44s, and I have seen M38s listed for $250.
It is your rifle, and you can do what you want, but generally speaking you are destroying a historical artifact by doing so.
And generally speaking, you will end up with something that is not as good of a hunting rifle as a entry level Remington/Savage/Ruger.