AFAICT, conditions for the offence are only satisfied if those wild camping do not leave as soon as practicable when ordered to do so by the land owner or a police officer; or having been previously so ordered, return within a certain period. There is also a requirement that "significant damage and/or distress" has or is likely to occur. The current draft of the bill can be downloaded at
https://bills.parliament.uk/publications/44739/documents/1259 and the relevant section starts at the bottom of printed page 76.
So, those who currently take nothing but memories, leave nothing but tyre prints, and move when a land owners asks them to are not going to be affected. For that, there is a possibility that the ability to move people on without having to obtain a court order might make land owners and local authorities less inclined to spend money on height barriers -- allowing us to use car parks during the day even if overnighting is banned.