As I mentioned in this question, I am unhappy with the way my PhD is going. For the sake of completeness, I will summarize my condition in this question too.
I am a 2nd-year PhD student in computational physics. My advisor left my university soon after I joined the PhD program. I did not want to join any other research group. So, my advisor and I decided that he can supervise me remotely (he went to another country). In my first year, I was mostly focused on coursework. Since August 2020, I am focused on my research work. We used to have one meeting every 2 or 3 weeks till December 2020. Now, since December 2020, the advisor is not giving me any time. We just had 2 meetings in 7 months.
Now, finally, I had a meeting with him a few days ago. I told him that I need more time. I need regular meetings. He said that he's very busy and can't give me a lot of time. I told him that I am not happy with the way my PhD is going. He said that he understands that it can be very difficult to handle things without having a proper research group and with no active supervisor. He literally said, "technically speaking you have no supervisor at this moment". When he said this, I mentioned that maybe I should move on and search for any other suitable position. He said that I should definitely look for any other position.
Currently, I am looking for other positions. My question here is: should I mention my "two years wasted at this university"-story in my SOP or in any other documents? I am about to write emails to a few professors and ask them if they have any PhD vacancies. Should I mention my current PhD student status in emails?