Segwit: dropping signature from relay

[Bitcoin]

Segwit: dropping signature from relay

In the process of trying to understand the effects of segwit on Bitcoin I started watching this:

https://www.youtube.com/watch?v=NOYNZB5BCHM

Which are the cases in which the receiver does not need the signatures? (minute 6.20)

Am I right, saying that signatures for segwit outputs will never be relayed to old clients?

Source: Segwit: dropping signature from relay