Yes, absolutely, this is regarding a second display that is an Apple Thunderbolt 27-inch display., connected via the built-in display port cable.
My iMac is a late 2013, 3.5GHz i7 with 32GB of DDR3 memory and NVIDIA GeForce GTX 775M graphics card. I'm running El Capitan, v. 10.11.6 on it. I can't upgrade this machine's OS because I'm running a bunch of older software on it that won't run on a newer OS.
Even if I set the system preferences to mirror both display, changing the brightness for the iMac does not affect the other Apple monitor. Here's the hardware info from the system hardware summary:
Thunderbolt Display:
Vendor Name: Apple Inc.
Device Name: Thunderbolt Display
Vendor ID: 0x1
Device ID: 0x8002
Device Revision: 0x1
UID: 0x000100010022D8B0
Route String: 1
Firmware Version: 26.2
Port (Upstream):
Status: Device connected
Link Status: 0x2
Speed: Up to 10 Gb/s x2
Port Micro Firmware Version: 2.0.7
Cable Firmware Version: 0.1.18
and the graphics card info:
NVIDIA GeForce GTX 775M:
Chipset Model: NVIDIA GeForce GTX 775M
Type: GPU
Bus: PCIe
PCIe Lane Width: x16
VRAM (Total): 2048 MB
Vendor: NVIDIA (0x10de)
Device ID: 0x119d
Revision ID: 0x00a2
ROM Revision: 3782
Displays:
iMac:
Display Type: LCD
Resolution: 2560 x 1440
Pixel Depth: 32-Bit Color (ARGB8888)
Main Display: Yes
Mirror: Off
Online: Yes
Built-In: Yes
Thunderbolt Display:
Display Type: LCD
Resolution: 2560 x 1440
Pixel Depth: 32-Bit Color (ARGB8888)
Display Serial Number:
Mirror: Off
Online: Yes
Rotation: Supported
Connection Type: DisplayPort