Steps to reproduce:
mysql> SET GLOBAL log_bin_trust_function_creators = 0;

Create Zabbix database and start Zabbix server

Notice errors during database creation:

ERROR 1419 (HY000) at line 2119: You do not have the SUPER privilege and binary logging is enabled (you *might* want to use the less safe log_bin_trust_function_creators variable)

Notice that Zabbix server has successfully started but is working very unstable because it is missing triggers and foreign key constraints

Expected:
Zabbix server should not start if there was schema import failure