The common theory is, that if the sun would have "shut down", we would see the light for eight more minutes (the time that takes the photons to reach the Earth).

However recently I have read that photons need around 100 000 years to reach the Earth, since the reactions are happening at Sun's core, and gamma rays can't leave the Sun without interacting with other particles, unlike neutrinos for example.

Is that theory correct? If the Sun would "shut down", we would still receive photons (light) for another 100 000 years, only neutrinos would be gone?