How many services is this? Don't say "depends" because I gave all the relevant data in the premise. If you need more clarity assume it is in favor of the summoner. You are the GM - is this 1 service or 5?
Your example lacks the most relevant of all data, the context. Also: tone of voice.
Your example cannot be answered with a simple number because it lacks necessary information. How many passes are we talking about? What are the initiative scores and how many rounds of combat? Is there a difference in the initiative scores, i.E. does the spirit have more passes than the mage and has to act on its own because the mage cannot give the orders subsequently? All this affects the answer.
That being said, assuming your mage summoned
The Neutral President of the Neutral Planet, the mage and the spirit have identical initiative scores, the mage always acts before spirit, combat ends after four passes, there are no additional combatants, the mage polishes his nails and each use of a power incapacitates the target to the point of being considered defeated, then the answer is four services because the spirit does not really fight. There may be a fight going on around it, but as far as the spirit is concerned, it is performing four subsequent "Use Power" services because it makes no choices whatsoever.
(To illustrate my stance on this, if a spirit happens to be materialized when a fight breaks out, it does not automatically waste a service just because it gets shot at and resist damage. Once you tell it to participate, it "enters" combat and it costs you a service. Until then, its just there, trying to look inconspicuous.)
If combat takes five rounds and the spirit actually gets to do something between "fight for me" and "cast fireball on mage" then the answer is five because it gets to make its own choices for that one pass. It may or may not use powers, depending on whether or not it seems like a good idea from its perspective. The same applies if the magician stops giving orders after "use fear on guard 2" and combat lasts for more passes than four.
I know you want to hear "one" for both of these examples, but we've been over that. Be both think our interpretation is RAW and we have both stated our cases to an exhausting extend. We both see the others arguments as not sufficiently valid to change our positions. Let's just agree to disagree.