Thanks for reaching out to us.
You can change the image when you receive incoming SmartLine calls. You can find the instructions posted in another thread: https://www.godaddy.com/community/SmartLine/Custom-Ringtone/td-p/66768
When you call people with your SmartLine number, people will see your SmartLine # as the Caller ID with the associating city/state or your contact name if they have your number saved. No image will show up, unless the person specifically sets an image.
I hope this helps and let us know if you have any additional questions.
Thanks for reaching out!
The GoDaddy logo is only for incoming SmartLine calls and you can change it as well. We don't send anything out for text message other than your message.
Please send me a private message with your SmartLine # so we can connect through email. It would be helpful if you can send us a screenshot of the GoDaddy logo showing on the recipient's end. We can also perform a couple of test messages.