I have experience with this, and it was a disaster every time. I ended up paying to get the entry visa again.
A few years ago, I washed my passport in the washing machine, the passport was half destroyed and the visa stamp was gone.
I came back to Argentina with a new passport, the director at custom office came out as the immigration woman was clueless for such a common thing. The director found my old visa and gave me a certificate with an immigration stamp, he also signed on it. He told me to bring that paper with my new passport, that will do. Wrong!
Every time, I pulled that certificate out, the idiot officer either did not know or did not agree, every time the director/manager had to come out to rescue me.
In the last couple of years, you can't board without a visa. One time I was in Brazil, I showed the certificate that states that I have already paid, with detailed passport and visa numbers,the Brazil airline did not allow me to board. Anyway, I just bought a new visa, do not want to test Argentina immigration efficiency.
If you have an important trip, you are better off to pay it again.