L_Universe due to SNII Neutrinos = 322 * L_Universe?

In SLAC lecture at

https://www.youtube.com/watch?v=3DHiCRTUxgwPY

Public Lecture | Supernovas: Gravity-powered Neutrino Bombs Alex
Friedland comments that for a snII, the power emitted in neutrinos
for about 10 seconds outshines all the L of stars in entire universe,
at about time: 36:45.

He states that the neutrino burst is 100x more powerful than the
visible explosion, and that during the 10 seconds neutrinos are
being emitted, the power is greater than visible emissions in all
stars in the entire universe. He also mentions 10% of mass of
collapsed core is converted to energy

There are around 31E6 seconds per year. About 1 SN per galaxy per
100 years. Is this about right for SNII, especially in the past?

And about 100E9 galaxies in visible universe. So that means about
1 billion SN per year in the now visible universe. But that means
the Luminosity from neutrinos is

L_neutrinos/Universe = L_universe * 10s/SN * 1SN / 100yrGal *
1yr/31E6s * 100E9Gal/Univ

so, L_neutrinos from SNII explosions = 322 L_universe starlight

Really?

Is L from SNIA similarly large?