Agreed. Your neighbour is faced with an expensive boiler relocation if you insist on full rights over that unused boundary. Over the years many have lost thousands of pounds in petty boundary disputes, and many lawyers have lined their own pockets at the disputees' expense..the only proof you have that the boundary is actually the wall surface is a red line on a local authority plan with a resolution of about 6" at best.
Let us suppose that you wish to also extend to that same boundary. If you use the same roof profile their overhang will be removed as your roofs join, so there is no problem there. The discharge pipe is a tiny transgression on their part, though if you do build against it they will need to relocate it and possibly the boiler too.
You say relationships have been patched-up: my prediction is that they won't be for long if you insist on pursuing this (some may say) petty line.
If it worries you then consider asking them for written confirmation that their roof and pipe cross the boundary, and that they agree to have them modified or removed if you also build to the boundary.
Let us suppose that you wish to also extend to that same boundary. If you use the same roof profile their overhang will be removed as your roofs join, so there is no problem there. The discharge pipe is a tiny transgression on their part, though if you do build against it they will need to relocate it and possibly the boiler too.
You say relationships have been patched-up: my prediction is that they won't be for long if you insist on pursuing this (some may say) petty line.
If it worries you then consider asking them for written confirmation that their roof and pipe cross the boundary, and that they agree to have them modified or removed if you also build to the boundary.