In Edge of Tomorrow we learn from Cage's and Rita's experience, that when covered in the Alpha's blood, one can inherit the aliens' ability to reset the day.
The sub-question is - when this occurs, do the mimics retain the ability? If so, in my opinion Cage was lucky he changed his route after his first death, since the Alpha would remember how it got killed and adapt accordingly. The fact that the aliens had a lot more experience using this technique could mean that the "early", untrained Cage would be quickly drained of his blood still on the battlefield.
But - when trained and sufficiently experienced - what would happen if he decided to attack one of the Alphas again - for their blood, to "infect" others with the power, for example Rita or his pals from J Squad? Was it possible to create even a whole unit of day-resetting soldiers? Cage knew the location of at least two Alphas - the first one he killed with the claymore, and the second at the dam.
Could the Alphas still be confronted in their original locations? If so - is it possible to kill one Alpha multiple times (my guess is that it would adapt its strategy to not get killed or simply do not go in the location it got killed - that means if they still had their power)? Would it be a risk worth taking?