Technically accurate, yes. Thank you. But the way it worked out was that the governor popular enough to be elected, most routinely got his senate picks by his state legislature as so requested. It was a rare circumstance that the state legislatures would defer the wishes of their governor.
It was actually a clusterbleep, if we want to be completely truthful about the history. The reason the 17th Amendment got passed was because the Legislatures were often deadlocked, not in session, or too filled with infighting and corruption to fill vacancies.
Again, not hard to fact check...