Here is the relevant statement from the adjudicator of the original appeal
It was submitted that the Notice of Rejection did not comply with the Regulations in that it did not specify the full nature of the Adjudicator’s power to award costs.
https://www.legislation.gov.uk/ukdsi/2022/9780348231564 provides
(6) If the enforcement authority does not accept the representations, its decision notice—
(a)must—
(i)state that a charge certificate may be served on the recipient unless within the period of 28 days beginning with the date of service of the decision notice—
(aa)the penalty charge is paid, or
(bb)the recipient appeals to an adjudicator against the penalty charge,
(ii)indicate the nature of an adjudicator’s power to award costs, ‘
3. The Notice states: ‘There is no charge for appealing and costs are not normally awarded. Details about when an order for costs can be made can be found on the website, or by calling the number above.’
4. The Notice indicates that the nature of the costs order is exceptional. Supplementary information is easily accessible to an appellant who wishes to know more. There was no real prospect of prejudice to Mr X. The Notice complies with the Regulation.