You got a ticket in another state
Michigan's basic driver improvement course under MCL 257.320d applies to a moving violation committed in this state. A ticket written in Ohio, Indiana or anywhere else is outside it, whatever the ticket does to your Michigan record.
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The first line of MCL 257.320d(1) is the whole answer. The Secretary of State withholds points for "a moving violation committed in this state by an individual the secretary of state determines to be eligible under this section". A violation committed somewhere else is not a violation committed in this state, so the basic driver improvement course is not a route that is open for it.
But the ticket still reached my Michigan record
It probably did. Michigan takes part in the Driver License Compact, and a conviction reported by another state can be posted to a Michigan record. That is a separate mechanism from MCL 257.320d, and finishing a Michigan basic driver improvement course does not reach back into it.
So what is left
Three things, in roughly this order.
The court that issued the ticket is the one with the power over the charge. Whatever happens to the citation happens there, under that state's law, not Michigan's.
Some other states run their own point-reduction or diversion programmes and some of them accept an online course. If that is what you are looking at, the rules that matter are that state's rules, and you should read them on that state's own website rather than on ours.
A defensive driving course taken here is still a defensive driving course. It is worth taking if you want the material, and some insurers ask about safety training. What it is not is a Michigan statutory remedy for a ticket written outside Michigan.
One thing to be careful about
If you also have a Michigan eligibility notice open for a separate Michigan violation, the 60-day clock in MCL 257.320d(1) runs on its own schedule regardless of what an out-of-state case is doing. Do not let one wait for the other.