I totally agree with you and
@BlueStreak .
The side view mirrors are not tied into any computer module and for an 03 or 04 are fed from fuse #10 in rear fuse box. This same fuse feds driver door unlock relay, so if driver door lock works properly, ITS NOT THE FUSE, there are other issues.
The cigar lighter (in ashtray) for 03 and 04 is fed from #28 underhood fuse box. This is also the power feed used to power up scan tools at the Diagnostic Link Connector (DLC). So if a scan tool will power up there are additional issues.
I have not looked at diagrams to see if same grounds. But as stated, it worked before, it should work now.
I hope you were not forced to foot the bill for the RDM and the BCM.
If yes, do you have the old ones.