Does creating readOnly connections, when possible, free up resources in Postgres?

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I have an API server and I'm trying to be conscientious managing Postgres's resources carefully. On the client side, I have a Hikari Pool.

Usually when I need a connection, I simply create a default read/write connection, even if I don't plan to make any updates or inserts or hold any locks. But most of my database connections are in fact read-only.

I saw that when you create a JDBC connection, you can specify readOnly=true. Would doing so somehow help Postgres manage its other connections? Perhaps Postgres, knowing that a connection is readOnly and will never even attempt to do an update, will free up some internal resources for other connections. Is this accurate?