Notwithstanding International variances in procedures (and believe me they exist!)...
Under Radar Control the Controller is responsible for Terrain Clearance. An SID will assume minimum climb rates and is be designed to provide TC, the CAS structure will provide TC... OK that's a given.
In the instance you describe, when the Controller took you off of the SID and cleared you DCT VIC, you can be entitled to assume they have taken TC into account.
Mind you, that doesn't mean you shouldn't cross-check after all you're the one in the air!!!