Furthermore, the relevant pieces of EU legislation are interpreted differently in different member states, it seems. But yes, in principle, marriage (or where relevant a civil partnership) to an EU citizen should enable the non-EU partner to live in an EU country under EU law — except (in most cases) where the country in question is the country of which the EU partner is a citizen, in which case that country's own immigration laws take effect; the main exception to this last point is when the couple have already exercised their EU treaty rights in this regard (i.e. have already lived as a couple in another EU state).

But as I say, even where EU law applies, different countries have different standards of implementation...