Benjamin Cauchy, a major figure in the movement said, "We will not be put to sleep by a moratorium, the issues are much wider than that", and added, "the French do not want crumbs, they want the breadstick in full".
He also visited local government offices in the central town of Puy-en-Velay, which were torched during a protest last weekend - and was booed upon leaving.
Mr Macron and Prime Minister Edouard Philippe's popularity ratings hit new lows as the "yellow vest" protests gathered speed, according to an Ifop-Fiducial poll.
Fuel shortages due to blockades remain a problem in areas of Brittany, Normandy, and southeast regions of France.
On Tuesday, Philippe announced a freeze in electricity and natural gas prices until May 2019, and warned protesters against more disruptions.
A Macron aide denied that any eventual revision of the wealth tax would represent a major climb-down by Macron, a pro-business former investment banker, adding that the president remained committed to his reform drive.
US President Donald Trump appeared to mock Mr Macron over the policy shift, which could make it harder for France to meet its Carbon dioxide emissions-reduction target, a core element of the Paris climate agreement of 2015.
Media captionFrance fuel protests: Who are the people in the yellow vests?
Since then, the "yellow vest" protests have developed into a movement against Macron.
On Saturday, rioters ran amok in Paris, torching some 200 cars, smashing shop windows, and vandalising the Arc de Triomphe, an iconic national monument.
Around 400 people were arrested after a violent minority turned on police, throwing projectiles and vandalizing statues.
The concessions, coming after an earlier 500-million-euro relief package for poorer households, mark the first time 40-year-old Macron has given ground in the face of public opposition. He has promised to reform France's economy and increase economic growth.
"If not there will be chaos", said Christophe Chalencon.
Pensioners and those on a basic wage who do not qualify for social benefits have made common cause in yellow vests on the streets with anarchists and far-right agitators who want the president to resign.
The French government on Wednesday (Dec 5) urged parties across the political divide to calm protests that have raged nationwide for more than two weeks, and signalled it was ready to make further concessions to avoid more violence. The demonstrations took place as France joins other countries at the United Nations Climate Change Conference in Katowice, Poland.
Political opponents of the government called Philippe's announcement Tuesday too little, too late.
For weeks Macron held his ground on the fuel taxes, which are meant to finance anti-pollution policies but critics say unfairly weigh on drivers in rural and small-town France.
"It's delayed, but there must not be any retreat by the government", Lambert said.
Some officials, however, hope that the lack of clear leadership will lead the movement to break apart.
One of the demands from the protesters, who are mostly from rural or small-town France, is a repeal of Mr. Macron's move a year ago to cut the ISF "fortune tax" which was previously levied on high-earners. George Grow was the editor. Because they want to be led by Trump, according to a theory retweeted by the U.S. president himself on Tuesday. The statement was placed on Vigi's Facebook page on Wednesday.