You will get the green marker(and the talisman accordingly) only when the username of the Neolemmix and the replay file are identical.
When you first install and run Neolemmix, you are asked to set you user name.(default is "Anonymous") If you solve a level and save the replay, the replay is assigned the username of the NL.(Open any replay file and look at the first line of the file. You will notice that every replay files have User names assigned to them) So if you run a replay of other users, you won't get a green marker even if the replay is valid and complete the level.
I watched the video and I noticed that you have a lot of different version of Neolemmix installed in your PC and it's possible that you accidently set the username differently on them. That's also a possiblity.
So only way avoid this is stop replay right before level end. Just usually used release rate drop.
Any inputs while you're running a replay will immediately stop the replay. From there on, you can do whatever you want and you will get the green marker when you complete the level.(and new replay file with your name on it if autosave option is activated) Changing the release rate is just one way of doing so