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I thought so too. But later I noticed that it doesn't depend on that. The more units I had in my army and the enemy's army, the better the reinforcement worked.
I don't know why, but it's noticeable with elementals, as their numbers are almost always the same, unlike a regular army.
Put 1 stack in battle and activate reinforcement.
Then replay the same battle, put all stacks in battle, and activate the same reinforcement - the number of units will increase much more.