No, the targeting committee was very clear that the targets were selected mainly based on spectacle and effect.

That’s not my understanding at all, only just that having witnesses was a side effect, but not the primary reason.

From what I remember from watching documentaries there were military targets in the cities, I think (don’t hold me to it) bomb making factories.

Feel free to pass on some links if you know otherwise, as history is always a learning experience. (See edit below.)

Edit: Looking at the Wiki page, under the section about targeting, it mentions this about Hiroshima…

Hiroshima, an embarkation port and industrial center that was the site of a major military headquarters

… and…

Hiroshima was described as "an important army depot and port of embarkation in the middle of an urban industrial area. It is a good radar target and it is such a size that a large part of the city could be extensively damaged. There are adjacent hills which are likely to produce a focusing effect which would considerably increase the blast damage.

The wiki article does mention what you’re stating as well, so in essence we’re both right, though I would still argue that the military objective was primary, and the spectacle as you call it was secondary, even if it was a close secondary.