This doesn't interfere with the existing Right to Roam, because if you are 'roaming' in accordance with that right (which doesn't include a right to camp), you're not a trespasser. If, as this petition seems to do, we object because of our nonexistent 'right to wild camp', we are liable to draw attention to the technically unlawful nature of our hobby! (the position in Scotland is different, as is Dartmoor).
For the record, this is what the Conservative Manifesto actually says:
"We will tackle unauthorised traveller camps. We will give the police new powers to arrest and seize the property and vehicles of trespassers who set up unauthorised encampments, in order to protect our communities. We will make intentional trespass a criminal offence, and we will also give councils greater powers within the planning system."
Largely empty electioneering hype, worded to appeal to a certain section of the electorate, and targeted at Travellers and (probably) Hunt Saboteurs. Trespass by Travellers for the purpose of residing on land with vehicles is already a criminal offence, and has been for a quarter of a century (Section 61, Criminal Justice and Public Order Act 1994). The most this proposal would do (in the unlikely event of it ever resulting in anything at all) is criminalise the act of residential trespass itself, rather than failure to depart when directed (as at present), and enhance existing police powers of confiscation. Prosecutions under the existing law are exceedingly rare because the aim is removal, not prosecution, of those engaged. That wouldn't change.
Here's a quote from the petition:
"We have homeless people in the High Peak who rely on tents in hidden places to survive, please don't add a criminal offence to their already difficult lives".
There may be a valid point here, but that's a slightly different scenario to the "quiet and gentle drinking of coffee while watching the sunrise over High Peak", or indeed to a D of E overnight tent village!
The reality is that our overworked and largely office-bound police service is not going to be out trudging over the fells looking for the occasional hiker's tent in the dark. As far as the activities of most on this forum are concerned, I would worry far, far more about the appointment of the first 1,000 Park Rangers in the Lake District, and where that is going to lead.