Hi Tadas,
There is no work around available short of editing the code. Since this is a python based tool I can tell you where you can make the edit and it will work for you.
Follow these steps to make it work for you.
1. Locate this file. c:\Image_Mgmt_Workflows\OrientedImagery\Types\ImageService.py
2. Keep a backup of this file and open in a text editor.
3. Search for xf_1 and replace with xf_2. Make sure you keep the it is of lower case like in the ICS data.
4. Save the script.
5. Restart ArcGIS Pro.
We are working on a fix where the program will automatically detect which xform will have the spatial reference info.
Sorry for the inconvenience.
If you have any other issues regarding this or any other aspect of the oriented imagery GPTool do not hesitate to get in touch.
Thanks
Randall