Refresh Interval Question

According to Microsoft, "The refresh interval is used to determine how often
other DNS servers that load and host the zone must attempt to renew the
zone."

If I have a AD-integrated zone that is transferred to three other servers,
and those servers are set to something other than to default of 15 min,
which one takes precedence?

I probably have a fundamental misunderstanding of how it works, but aren't
these zones all authoritative, and are peers?

Thanks for clearing up my confusion.

AD Integrated zones are replicated through Active Directory rather than
AD so the Refresh in the SOA won't apply except when a Secondary server
is transferring from *one* of those Primary servers.

I highlight one because a Secondary can only have one Primary, and since
that is true the Secondary must obey the Refresh Interval set on the
Primary it talks to (regardless of the setting on any other servers that
may host the zone).

A Secondary cannot have a different value for the Refresh from the
Primary simply because the Secondary zone is a direct copy of a Primary.

It is perhaps worth noting that with the AD Integrated model all servers
host a Primary copy of the zone. That's why they are allowed to have
individual SOA (Start of Authority) records.

Chris