When you post something here expect there will be input or challenge. I am not challenging you. I am trying to provide input that might help. I have acknowledged I am not an expert, few here are. When one uses words like chance or perhaps it means their position is based on what seems logical to them. That's when we are most dangerous if that includes not considering any input that does not endorse what we think is logical. I am not saying you are wrong. My input is to have the trans diagnosed before speeding $$ doing what seems logical. Minimize your risk of having to spend more $$ later. You made a post that is my input.
Here is a short thread involving RRphil. As I mentioned RRphil is our resident expert on transmissions. That's my opinion but he actually repairs transmissions and has provided excellent input over the years.
https://xoutpost.com/bmw-sav-forums/...houghts-2.html. Might want to PM him and get his input.
JCL is also a long time member with great input. It is hard to be here on a regular basis for many years and not become educated about how to troubleshoot and come to the root cause of a problem. I give significant weight to posts from members that have been here a long time and have many thousands of posts.
Suggested response to this post---thanks for the input.