There are safety concerns over the strength of high viaducts at a $700 million highway being built north of Auckland.
There are urgent calls for e-scooters to be banished to the roads.
Segway is ending production of its two-wheeled personal transporter vehicle.
The chair of NZTA said the Associate Transport Minister's accusation was "news to him".
It was a promise made by Jacinda Ardern last election.
The new rules come into effect at the end of July.
The researchers found more men cycle, but more women walk or use public transport.
NZTA says the change will make it safer for motorists.
A survey found Aucklanders were the most resistant to changing up their daily commute to help reduce congestion.