Actually, it doesn't - you can't take the ads out (eg a clipping service) in any commercial setting. Using a tool that you put your newspaper in that removed all ads would be creating a tortuous derivative too. There's no general personal exemptions in UKCDA either.

Chances of being prosecuted for use are roughly zero.

Lawful educational use is highly restricted in the UK, but there are few prosecutions. For example if you show TV broadcasts you have to have both music licenses (as well as the TV license) to cover you for when they play music on the show (or in the adverts!).