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Yes, the Ice Golem from the school of water magic is, in my opinion, an absolute must-have for the Naga, as water magic with its control abilities suits them perfectly. Half of the spells freeze the enemy, plus the racial special ability and units also freeze, and the Ice Golem provides almost 100% chance to freeze... that is, it should, according to the description. A great combination that the Naga are specifically designed for. But it doesn't work; I just checked.
Thanks for the explanation about Counterstrike; it's clear now.
By the way, does anyone take the Training skill (+25 experience)? It seems like a useful thing and quickly pays for itself.