The safest answer is yes; devices within the same series utilize the same device image. I believe however that there are some exceptions to this once you move into the 5000 and 7000 series devices.
Yes they are device specific.
If you have different models, you will have several download options in the support portal :
Click Accept as Solution to acknowledge that the answer to your question has been provided.
The button appears next to the replies on topics you’ve started. The member who gave the solution and all future visitors to this topic will appreciate it!
These simple actions take just seconds of your time, but go a long way in showing appreciation for community members and the Live Community as a whole!
The Live Community thanks you for your participation!