The only disadvantage I see is that you have to comply to its rules.
You may have more control if you don't use @InjectMocks
From their docs, I added some in bold:
Mockito will try to inject mocks only either by constructor injection,
setter injection, or property injection in order and as described
below. If any of the following strategy fail, then Mockito won't
report failure; i.e. you will have to provide dependencies yourself.
Constructor injection; the biggest constructor is chosen, then
arguments are resolved with mocks declared in the test only. Note: If
arguments can not be found, then null is passed. If non-mockable types
are wanted, then constructor injection won't happen. In these cases,
you will have to satisfy dependencies yourself.
Property setter injection; mocks will first be resolved by type, then,
if there is several property of the same type, by the match of the
property name and the mock name. Note 1: If you have properties with
the same type (or same erasure), it's better to name all @Mock
annotated fields with the matching properties, otherwise Mockito might
get confused and injection won't happen.
Note 2: If @InjectMocks instance wasn't initialized before and have a
no-arg constructor, then it will be initialized with this constructor.
Field injection; mocks will first be resolved by type, then, if there
is several property of the same type, by the match of the field name
and the mock name. Note 1: If you have fields with the same type (or
same erasure), it's better to name all @Mock annotated fields with the
matching fields, otherwise Mockito might get confused and injection
won't happen.
Note 2: If @InjectMocks instance wasn't initialized before and have a
no-arg constructor, then it will be initialized with this constructor.