"On cast" trigger abilites triggering even when the source(permanent) has left the battlefield

My first example is Young Pyromancer with Village Rites.

Only after you are done paying Village Rites costs(including sacrificing a creature) should the game look for these kind of triggers.

Source: https://boardgames.stackexchange.com/questions/20694/will-an-object-trigger-if-the-source-is-sacrificed-to-pay-a-cost
(I also asked a L1 judge the other day in paper magic)

Steps to reproduce:

1. Cast Village Rites with a young pyromancer on the battlefield:

2. Sacrifice Young Pyromancer for the cost of Village Rites:

3. Watch the outcome:

I also tried with Blood Divination instead of Village Rites and the same happened.

Same with Adeliz, the Cinder Wind instead of Young Pyromancer.