How is the treatment of Lennie's dead pup typical of his character?

Lennie feels immense guilt over the pup's death and his part in its death. Unfortunately, he is more concerned with the fact he will have disappointed George. Lennie's attempts to hide his mistakes are typical behaviors. 

Lennie adores all living things and value them greatly, but, due to his size, and is often more rough than he intends to be. When he accidentally kills his pup, he is worried about George's reaction more than the fact that he killed the pup. This shows just how much Lennie respects George.

Lennie adores the pup but he killed it.

Lennie loves the pup dearly but he kills it and then he gets sad all the sudden. So....