In recent days, a hunter who had visited the club, Peter Breidahl, posted a video on social media claiming he saw club members with the confederate flag and talking with "strong feelings" about the right to carry arms, as well as complaining about New Zealand's relaxed stance on refugees would lead to terror attacks.
Police were investigating Breidahl's claims and Williams would not comment on them.
Asked whether he supported the gun law changes, Williams said he could not comment until the full range of reforms were unveiled.
"Not all the details are out ... I guess we'll just have to see."
Police assistant commissioner Tusha Penny said since police established the 0800 311 311 line dedicated to changes to firearms law, 474 calls were received by 11am yesterday, while 127 calls were logged in a single hour.
More than 1000 people notified police via the online form they wished to surrender a firearm.
Penny said some people were misusing the form and submitting vexatious notifications.
"While these individuals may be short of productive work to do, police are not.
"In the current environment this is unacceptable."