Machine Learning VS Deep Learning Image Classification

Classical machine learning and deep learning have fantastic applications. One of these applications is the multiclass classification where the last layer may have more than one node (or neuron) predictor. For instance, the most popular multiclass classifier in machine learning is the MNIST digits classifier whilst for deep learning, there is the must try version of MNIST which is the dogs and cats classifier. Now, which one is the best to predict other types of object, insects for example? Thus, I took seven classes of insects (actually, it was six because spiders are not insects but arachnids. The seven chosen classes are: beetles, cockroaches, dragonflies, flies, spiders, termites, and thrips.