Firmware Version 10.7.0.10 keeps issuing DNS queries for router's host name

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lippard wrote:

I don't see what in your response says what might have changed between this version and the previous to cause this behavior, what configuration options in the WAX620 might change the behavior, or how I might resolve this issue.

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As I wrote, it's just my guess. Very likely nothing you can do changing the WAX620 dhcpcd behavior - to my knowledge, Netgear does not support DHCP Options 

2, Time Offset: This option specifies the offset of the client's subnet in seconds from Coordinated Universal Time
12, Hostname: This option is used to set the “hostname” portion of a node’s Fully Qualified Domain Name. (FQDN)

15, Domain Name: This option is used to carry the “domain” portion of a node’s Fully Qualified Domain Name. (FQDN)

26, Interface MTU: This option informs the client of the MTU they should configure for their interface.

42, NTP Servers: This option carries the NTP servers used on the network.

...in case this is what you are behind. 

The WAX620 for example (all WAC5xx or WAX6xx) allow the configuration of the System Name

...which is nicely used by the embedded udhcp and requested with the DHCP request Option 12 ...

Needless to say, you need to configure the System Name on the WAX620, in my example above it's WAX620-1 - and can't depend on the DHCP supplied Host Name from the local DHCP server - with the name not configured, the default name will be there ...