In brief and to over generalize...
There were three types of pistol cartridges "around," as the Ordnance folks seemed unable to decide on just onei the 1840's and 1850's. Contract ones ("Colt" style) tended to be like the one in the video. However, some of the Federal arsenals also made pistol cartridges that were similar to the "tube" or "cylinder" types but had a folding tail as did the Minie cartridges.
The "odd" group were the ones that did not have an exposed conical ball on the end but rather were just like little "Minie" cartridges complete with tie string (which is what the 1861 Ordnance Manual called for).
And, they also made pistol cartridges enclosing a round ball instead of a conical.
In gleichem Schritt und Tritt, Curt Schmidt
Not a real Civil War reenactor, I only portray one on boards and fora.
I do not portray a Civil War soldier, I merely interpret one.