I thought I would run a test and print the same print at a local lab with different embedded profiles. I did this because of my initial question on AP relating to theprogram, Therapee and selecting the correct ICC profile.
I printed the same photo out in:
1. No Profile
2. sRGB V1.31
3. sRGB IEC61966-2.1
4. Adobe RGB
On screen if I toggle between the different profiles on the same photo, sRGB and sRGB IEC61966-2.1 look exactly the same. I assume the profile is the same as sRGB IEC61966-2.1, they just name it something different - it's what I have been doing all my lab prints since I got my camera. whilst Adobe RGB looks more saturated on-screen.
The actual hard copy prints look identical. The local lab must obviously have their default profile and everything that is uploaded on their machines is overwritten with their profile.