So if a connection is convincingly drawn between the political rhetoric of the Leave campaign and the actions of Cox's killer, the Remain campaign may feel some political benefit. Some Remainers think Thomas Mair's words at his first court appearance ("Death to traitors and freedom for Britain") can only harm a Leave campaign that bases its case in patriotism and sovereignty.
But this is a path fraught with peril for Remainers, too. Politicians already facing public suspicions that they are cynically manipulating facts to their own ends will pay a heavy price if voters believe they are misusing Cox's death in the hope of winning votes.
And afterwards? Even before Friday, allegations of bad faith and dishonesty played a central part in the political debate, with corrosive effects on relationships. Some people will attribute the result to Cox's death and the way it was presented and explained.
The more Cox's awful death is dragged into the debate, the harder it will be for people divided by that referendum to come back together afterwards.
How soon will we know the result?
Voting begins on Thursday night NZT. It is expected that by about 4pm on Friday we should get a clear idea of what the result is likely to be.
How are the votes counted?
Vote counting will begin as soon as the polls close at 10am on Friday at 382 local centres around the UK. Each area will declare their result as soon as the votes have been counted. These local results will then be collated at 12 regional centres. The final vote will be announced at Manchester Town Hall.