Both running and training shoes may look similar however they are as different as their names, running shoes typically have some extra cushioning and majorly they are designed to have toe to heel movement that sets them apart from training shoes.
Training shoes are more robust and they do not just include toe to heel movement, they are designed to have different multi directional movement, like side to side, toe to heel.
Another main difference in training shoes is that their sole is flatter than running shoes allowing them to move in more flexible way.
If you are trainer then surely you are going to need training shoes, and do not just rely on running shoes, it might refrain you from your original capabilities, you would not want to just run, being a trainer you have to do a lot and your shoes are your true friends that enable you to have different movements.
Running Shoes vs Training Shoes
So you must have training shoes in order to train properly, because while training you have to change your movement quite swiftly depending up on the type of sports of course, however; it does require you to have jumping shoe, cutting, breaking and stopping and you cannot just have it without a training shoes.
And running shoes are good too, if your exercise just involve running like jogging then it is okay to not go for training shoes but running shoes.
Running shoes give your feet a good support that even secures your feet if you pound on some kind of paved ground, most likely running shoes are designed to keep track of forward movement, so that you feel comfortable while running and also they are quite good with cushioning, so choose right shoes for running, and training shoes if you train.