Sorry, I didn't explain myself correctly.
You are right - both are offences but difference is which video can reliably prove which one - this may become important if it comes to prosecution.
Basically, any video will be helpful to police, but if you want to have really strong evidence, it is best to have external + internal.
Explanation:
If someone enters your garden for example and looks around, that is trespassing. If they enter your property or part of it (garage?) while trespassing and with intent to steal/damage then this is burglary (more serious offence).
CCTV video from external camera will basically prove trespassing (they are usually hanging higher up) and even if it films someone opening back door and walking in, they are still trespassing unless video can clearly show they had entered the property. To prove it, you'd need to have their face (no mask) or fingerprints. In many cases cameras higher up will not give you that and cameras lower down can be easily disabled.
This is where Blink is really nice for internal stuff (runs off 2 AA batteries, very configurable, grabs audio and video, has night vision), just hide the sync module somewhere out of sight so it can't be easily taken.