internal voltage reg

[71GMC72]

I have been looking at old posts about converting ext voltage reg to internal and from what I understand I am supposed to connect the brown and blue wire together and connect the white and red wires together all at the ext voltage reg plug in. Now I am wanting to clean up all my wires can I just connect directly the brown wire coming out of wire harness bulkhead to blue wire at the alt and just connect the white wire at alt to the main red hot wire on the back of the alt, is this the same results or am I missing something? Thank you.