Since, mysql version 5.7 there is no easy way to turn off the log bin globally. In the other hand, you can stop the log bin locally (during session) using SET sql_log_bin = 0 but this way the result won’t last over sessions.

Thus, rendering mysql -u {user} -p{user} -e "...." much harder to do without writing to the bin log. However, there is another way. Nothing prohibits you from sandwiching the sql command to keep it away from the bin log, this way :

mysql -u {user} -p{user} -e "SET sql_log_bin=0; {sql};SET sql_log_bin=1" 

By sandwiching the sql, your sql will be run in the context which log bin is not working and you are fine !