Apart from what has been said, and it's valid information with the pair exhibiting current gains of 10,000 or more, their is the impedance issue too.
By using a darling configuration or (super-alpha pair), you also create a very high input impedance beyond several Megohms, dependant on the transistor type used; that's okay if you require a high input impedance, but other factors come into play... e.g. slow switching action thus, low frequency operation; also a through phase shift occurs, if used in negative feedback designs.
The preferred transistor configuration is the right-hand circuit, where the collectors are joined together, to maintain equal current sourcing, through the collector load.