Transport planners voted to introduce the trial on Wednesday but this was suspended following a request that the matter should be referred to full council.
"The trust is taking the matter seriously and has suspended the member of staff from work whilst a formal internal investigation is carried out, " a spokeswoman said.
Days later, the interim town manager reversed the chief's firing, and suspended the assistant town manager pending an investigation into an undisclosed matter.
The BBC understands no employee has been suspended from duty as the investigation does not relate to technical failings and the matter was raised externally.
Yorkshire, for whom Rafiq has played two Championship matches this season, had in any case indefinitely suspended the youngster on 29 July while they began their own investigation into the matter.
The Singapore Exchange suspended trading in the stock for two years until August last year and referred the matter to government investigators for possible criminal offenses.
"I consider this to be a very serious matter and have instructed that a 51-year-old police officer is suspended and that further inquiries should be carried out, " he said.