What is there to handle? You take down stuff when you get an email? Most users of this will be so small that they'll never get noticed. Maybe they won't even be online, how are you going to know you were infringed? Maybe the crawler allows for spoofing the user-agent.
If a person in the UK uses your service you're committing contributory infringement for commercial purposes, AFAICT.
Moreover, the ECD has different protections than DMCA. Particularly getting a takedown notice isn't required.
>Maybe the crawler allows for spoofing the user-agent. //
As a tort you only need to get a preponderance of evidence. IP of the crawler that made the copy puts the owner of that IP in court for contributory infringement, no?
If you make copies of parts of BBC sites and serve those copies from your server how is that not copyright infringement by you??
FWIW I like the service and do not like the copyright regime as it stands, particularly how UK law lacks the breadth of liberties of Fair Use.