Should the truck stay running when the battery cable is removed?

1942 1\2 Ton
1951 1\2 Ton 55 willys cj-5
1954 and 59 Cushman Scooter
1960 Biscayne Sedan
1965 G/10 panel van
1966 C/30 Grizzly Motorhome
You know you're a 'Bolter when your daily driver is older than you are...
My progress pics