It is my humble opionion that all shooters should keep both eyes open for peripheral, especially for hunting,
We try to instruct new shooters to do so, some we find quickly have eye issues, mostly with dominant eye struggles where the left eye for a RH shooter fights to be dominant, than it is advisible to close left eye.
Some even will shoot left handed because they are left eye dominant, most right handed shooters however cant shoot left handed so have to close left eye.
However if there are no eye issues bowhunters should keep both eyes open
JMHO
Neil