My timeline does exactly as you describe. When it reaches the end of the timeline, it just stops.
Check is that your program monitor doesn’t have looping enabled. See image below
1. This is how you get the program monitor menu up.
2. If you have a tick here, it will loop. Untick this setting

Declan Smith
https://www.madpanic.tv
After Effects CS6/ FCS3 / Canon XLH1 / Canon 7D / Reason / Cubase
“it’s either binary or it’s not”