Cisco Firewall :: ASA 8.3 - Interface Security Level / Global Access Rules?

Verifying the operation of the ASA when configured with Global access rules.  Does the global rule overide the interface security levels?  According to the ASA order of operations, the interface specific rule get's processed first and then the global rules, but It does not say anything about interface security levels.  Observing an ASA in production that has global rules configured I see that an interface with a security level of 50 that has no rules applied to it, passing traffic to the outside interface (security level 0) drops the traffic.  Syslog shows that it hits the global access rule implicit deny.  Does the implicit permit any to any less secure interface not apply?