A few points...
The "America West" CRJ900s are operated by Mesa...
Republic's E170s were mainline operated (MidAtlantic) pre-merger, so are in the "World Class Carrier" livery and interior. The E175s were allowed at Republic post merger by Mr. "Oh, I hate outsourcing, I wish those planes were still mainline" Dougie, so they are in the "Circus of Swoosh" livery and interior.
The US Airways Express program, unless it has changed under this leadership, is designed by US Airways. Each carrier is issued program guidelines, for everything from inflight service, announcements, placement of magazines, catering, you name it. The wholly owneds obviously have it as part of their training. The contractors are expected to train their employees who will be part of the US operation in the USX brand.
It's gone back and forth a few times, but I believe the current philosophy on service is that express carriers follow the same guidelines as mainline, regardless of size of aircraft. They would rather keep the service consistent by market whether it's a Saab or a 737. The carriers are not supposed to issue their own service guidelines.
If you are on a Piemont or PSA flight, or even non-wholly-owned Air Wisconsin, you'll notice the announcements mirror the announcements on mainline. The safety demo is the same but tailored to the individual aircraft type.
Express announcement guidelines have Express carriers state their name ONCE- at the end of the Arrival announcement. "On behalf of all of us here at US Airways Express operated by PSA Airlines..." All other references during boarding and such state US Airways Express.
Republic mentions their name at least five times in their announcements, which are not the issued US Airways announcements. Not only do they repeat it over and over, they say "Republic Airlines, operating as US Airways Express", or in the arrival, "On belalf of Republic Airlines and US Airways" as if they are United or Lufthansa. This is true even of the prerecorded ones. They do thier own ridiculous demo, and took it upon themselves to add a scarf and a log sleeve dress to the uniform. They have laminated Republic Airways advertisements in the seat pocket bragging about their relationship with multiple major airlines, with info to apply for a job there. Now they have their own livery?
Those planes should be mainline to begin with, but if they are contracted out they need to get in line- customers are not buying a ticket to fly on Republic, they expect US Airways Express (actually, they expect US Airways, since we fly the nearly identical E190 to the same cities with full mainline service like meals and liquor... total brand confusion). Tempe can't even standardize the two mainline carriers, much less two more airline subsidiaries and seven contracted carriers. RP probably feels that they can do what they please because what other "regional" airline has E-Jets?