Hi,
run_init /usr/sbin/httpd -k start
leads to
system_u:system_r:initrc_t:s0 root 3977 1 0 19:57 ? 00:00:00 /usr/sbin/httpd -k start
It should be httpd_t
sesearch -ACT -t httpd_exec_t has the transition
type_transition initrc_t httpd_exec_t : process httpd_t;