These costs and payment uncertainties can be avoided in person by using physical currency, but no mechanism exists to make payments over a communications channel without a trusted party.

Take the time to read this properly.

This does not state that you send to the network and that the network sends to you.

This states that one person can make a payment to another person.

if you don't get that, the following paragraph makes this very clear.

"allowing any two willing parties to transact directly with each other without the need for a trusted third party."
@BitCoinWP

Again, this is not stating that you send to the nodes to validate your transaction it is saying that Bob sends to Alice and that Alice can use the Blockchain to record the transaction

To have the network as the intermediary is to have an intermediary

i.e. a trusted third-party

CSW
May 4, 2021
https://metanet-icu.slack.com/archives/C5131HKFX/p1620136352495100?thread_ts=1620136352.495100&cid=C5131HKFX

https://t.me/CSW_Slack/2195