How does an NTP host switch among the various modes

The NTPv3 RFC describes five operating modes:

Symmetric Active (1): A host operating in this mode sends periodic
messages regardless of the reachability state or stratum of its peer. By
operating in this mode the host announces its willingness to synchronize
and be synchronized by the peer.

Symmetric Passive (2): This type of association is ordinarily created
upon arrival of a message from a peer operating in the symmetric active
mode and persists only as long as the peer is reachable and operating at
a stratum level less than or equal to the host; otherwise, the
association is dissolved. However, the association will always persist
until at least one message has been sent in reply. By operating in this
mode the host announces its willingness to synchronize and be
synchronized by the peer.

Client (3): A host operating in this mode sends periodic messages
regardless of the reachability state or stratum of its peer. By
operating in this mode the host, usually a LAN workstation, announces
its willingness to be synchronized by, but not to synchronize the peer.

Server (4): This type of association is ordinarily created upon arrival
of a client request message and exists only in order to reply to that
request, after which the association is dissolved. By operating in this
mode the host, usually a LAN time server, announces its willingness to
synchronize, but not to be synchronized by the peer.

Broadcast (5): A host operating in this mode sends periodic messages
regardless of the reachability state or stratum of the peers. By
operating in this mode the host, usually a LAN time server operating on
a high-speed broadcast medium, announces its willingness to synchronize
all of the peers, but not to be synchronized by any of them.

It seems to me, though, that any host except a leaf node would probably be in several modes. For example, I might have a local area network with three NTP servers, each in Symmetric Active (1) mode with respect to one another. They would also each be clients (3) of one of the many public stratum two time servers. Lastly, they would all server as servers (4) to the many local clients.

Is the point that they're only in a given mode for a moment during the synchronization? If so, how does a host know to switch? I'm only looking for enough depth here to discuss the issue in an educated manner, not to write a custom time server.