No, the only information that is public and appears by default when someone searches for your organisation on the site is your modern slavery statement, and whether you have registered your commitment to the Code of Practice. If you have other publicly accessible accreditations relating to corporate transparency, these too will appear on your profile. Only this information is made public, even if your account has not been verified.
Your entries into the Code of Practice progress tracker are only accessible to you and Welsh Government. In future you may wish to make your progress public but this is something only you will have control over. This "publish" function does not yet exist as an option on tiscreport and will be reviewed by Welsh Government once the first stage of supplier onboarding is complete.
The Supplier Dashboard is for you to monitor the transparency of your tier 1 suppliers. If you list Company A in your dashboard as a supplier, then you will appear as a buyer in their private, secure dashboard. However your supply chain will not be available publicly to anyone unless you choose to share it by changing the setting in your company profile.