The statements from the two sides largely agreed on the sequence of events but not on who was to blame for the absence of the runner.
Organisers of the Morocco event had initially refused to allow the South African to take part but on Friday they "confirmed her invitation".
The court, which could not be immediately reached for confirmation, had issued the order on Wednesday, it said, adding that "this means that Caster remains permitted to compete without restriction in the female category at this time."
Russia's participation at this year's Doha World Championships remains on tenterhooks.
The IAAF's decision to uphold the ban leaves Russia's participation at this year's Doha World Championships on tenterhooks.
Andersen said Russia had paid out more than $3.2 million (2.8m euros) for the Task Force's work and had also committed to paying any more costs, so the "cost condition has been met".
The new brand makes the sport more accessible to a wider audience while giving the global governing body the opportunity to more clearly communicate its mission as the leader of the world’s most participatory sport.
The IAAF has been the stand-out sporting body to put its foot down in the wake of the doping scandal.
The 21-year-old Holloway flashed across the line in 12.98 seconds to edge out runner-up Daniel Roberts, who clocked 13 seconds flat.
Olympic champion Dalilah Muhammad clocked 53.67sec to win the women's 400m hurdles ahead of compatriot Little Shamier.
Thompson, 26, will be looking to hit back, along with Ivory Coast's Marie-Josée Ta Lou, a double 100m and 200m silver medallist at the 2017 worlds in London, who is making her first international appearance of the year.
Switzerland's highest court on Monday temporarily suspended the IAAF rules following an appeal by Semenya, the South African who won the women's 800 metres at the 2012 and 2016 Olympics.
Caster Semenya, the South African who won the women's 800 metres at the 2012 and 2016 Olympics, had last week announced plans to appeal to Switzerland's highest court.
The Court of Arbitration for Sport earlier this month rejected the South African's challenge against measures imposed by the IAAF that compel "hyperandrogenic" athletes to lower their testosterone levels if they wish to compete as women.
The Qatari star has sat second on the world all-time list since September 2014 when he scaled 2.43m at the Diamond League final in Brussels.