Several hundred people followed the coffin which was draped in a UDA flag, beret and gloves.
The UDA ceasefire - in spite of its flaws - was another important factor.
UDA's announcement this time was undermined by the refusal to hand over its guns.
Jimmy Birch says UDA members have been told not to take part in rioting.
The feud within the UDA earlier in the year led to some leaving the country while others were jailed.
UDA's threat, it was yet another reminder that is unwise to assume that Northern Ireland will stay quiet for long.
Could it have been through MI5 agents within the UDA (and there were several) being fed with ideas and information?
BBC: De Silva report on Finucane case turns spotlight on MI5
Both men work for the Charter organisation which seeks to help former UDA prisoners adjust to life on the outside.
They started applying to be rehoused after the feud flared up at a UDA-linked festival on the road at the weekend.
"The money is not going to the UDA, it is not going to UDA personnel or into their coffers, " he said.
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Mr Finucane was shot dead by loyalist paramilitaries, the UDA, in front of his family at his home in Belfast in 1989.
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He was released under the Good Friday Agreement and these days is a leader of the UDA in north Down and Ards.
The brigade's current leader was never drawn into that process because he was not then a member of the UDA's decision-making inner council.
The move comes more than 15 years after the UDA announced its ceasefire and 12 years after the Independent International Commission on Decommissioning was set up.
The UDA's formal rejection of the Agreement in a statement last summer was followed by the dissolving of the UDP as a political party.
UDA, so that their representatives would be kept out of talks?
The group spent the past six months talking to its grassroots membership, with about 4, 000 active UDA members attending a series of meetings throughout Northern Ireland.
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And there are clear signs that the political path the UDA is taking in east Belfast is in the direction of closer engagement with the DUP.
The self-confessed UVF members walked into Antrim police station in 2008 and admitted their involvement in the murder of leading UDA member Tommy English eight years earlier.
Mr Slane, a 27-year-old father of three, was shot dead by the loyalist Ulster Defence Association (UDA) at his home at Waterville Street, west Belfast, in September 1988.
"There has been dialogue taking place between the UDA and the UVF but it hasn't actually resulted in an actual truce, " he told BBC Radio Ulster on Wednesday.
Meanwhile, Mr McMichael and his party colleague and deputy lord mayor of Belfast, Frank McCoubrey, helped to carry the coffin of murdered UDA member David Greer on Wednesday afternoon.
The shooting was thought to have been in reprisal for the murder of 21-year-old David Greer, a member of the loyalist paramilitary Ulster Defence Association (UDA) on 28 October.
The body which monitors paramilitary activity in Northern Ireland said in its last report that the UDA remained split into two distinct groups - the mainstream UDA and the south east Antrim group.
This followed an increasing UDA rejection, particularly within that brigade, of the 1998 Good Friday Agreement, which its political allies in the Ulster Democratic Party helped to negotiate during cross-party talks.
UDA, unhappy with their organisations' support for the agreement.
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At the memorial of flowers placed by Mr Branagh's friends and family at the spot where he died, there were also messages of support from the UDA and the Loyalist Volunteer Force.
At the UDA competition this year in Florida, where the Red Storm earned fifth place in hip-hop, the women on the team squeezed four into a room and slept two to a bed.
On Thursday, Jackie McDonald, a former UDA prisoner who has represented the organisation in talks with the de Chastelain decommissioning body, had warned that declaring the ceasefire over could make a bad situation worse.
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