At a hearing on Thursday, a judge was asked to consider the “natural and ordinary meaning” of the posts and whether they were innuendos made about Ms Aluko being dishonest and hypocritical.
Mr Barton denies making defamatory remarks.
Gervase de Wilde, for Ms Aluko, who attended the hearing at the Royal Courts of Justice in London, said readers would take the meaning of the posts as that the broadcaster is “laughable and unreasonable”.
Joey Barton has been accused of making defamatory social media posts (Danny Lawson/PA)
PA Wire
However, William McCormick KC, for Mr Barton, described the claims against the ex-Bristol Rovers manager as “strained, forced and unreasonable”.
The hearing before Mr Justice Lavender concluded on Thursday and a decision in writing will be given at a later date.