Emerald Early Shiny Frame Question, Starters and Static Encounters

This might not be a fully RNG related question, but I figured people here might know. I was just wondering if one were to have an early shiny frame, specifically for a shiny starter, would said frame also be useful to SR for other static encounters, or is the timing too different? I'm most interested in the possibility of using a starter frame for Rayquaza or Mew, but I couldn't find definitive answers when looking before. Thanks in advance!