With just dh_installsystemd --no-enable, it is still started.
With dh_installsystemd --no-enable --no-start, it is started
as well, - apparently because initscript is started. Also,
with --no-enable --no-start, it is not restarted on upgrades
if enabled locally.
After doing several iterations, I decided to abandon this attempt, -
it just does not work, and I've no time to fight with the tools.
If someone has a working recipe for all this madness, please
share a patch for d/rules.
Tagging with "help" for now.