Zinc coated rotors are an improvement especially when you want to remove the rotor later.

Break-in from Zimmermann's fine website:

The following run-in notices are recommended to ensure a safe and proper
operation of the brake disc / brake pad system:

Perform the run-in processes on road sections that allow for the following
maneuvers to be carried out safely and within the provisions of road traffic
regulations (StVO).

Violent or shock-braking should be avoided during the first 300 km of travel
after the change of the brake discs.

When running-in Coat Z coated brake discs, kindly perform approximately 5-10
short and moderate braking operations for braking off the coating layer.
After that kindly ensure a bedding-in process of brake discs and brake pads.
This process causes that the brake disc heats up gradually and serves to adapt
the friction surfaces of the brake disc and brake pad.

If the road conditions permit, perform several short, moderate braking actions
(without ABS intervention) within the first 300km.

Failure to observe the recommended running-in procedure may result in impairment
of the brake function and worse braking performance.
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If you use many of the parts dealers instructions to do brakes, you'll miss
the boat in some key areas including the need to clean like new the hub and rotor faces, and know what tools to use.
How to index new rotors to minimize runout.
Goto Zimmermann's site for plenty of technical info.
WARNING:
Both ATE and Zimmermann warn about using anti-sieze on the rotor and hub faces.
Only a thin coat of oil, then wiped off with a clean rag, is allowed.

Cheers, Bill