M - IMO having just gone through the process, the piece of paper helps more than you think and I did not even think about putting myself out there to date while being separated.
Early on I agree the paper won't help because processing the emotions still has to happen but for me, when she told me she was ready to move forward with the D I did feel a huge weight lifted off of me. I understand where you are coming from.
As far as dating goes, it was my personal preference to not because technically I was still married. So yeah probably old fashioned as well . I also didn't want to be in a situation where I had to explain myself, still married, but separated, blah blah.....I was too self-conscience. I still kind of am just about a month out from it being final.
I have a buddy that I play basketball with tell me that when he first started dating and ladies found out how recent he was from being D'd some of them told him that they were not interested because of where he was at or where they thought he was at mentally. I guess they were looking for something serious and thought he wouldn't be able to provide.