Hi Pat, about permanent magnet brushed motors I suggest you read the link at the end of the text.
In the meantime I'll write you some differences, if I'm wrong the other users of the site will correct me.
Brushed motors. Advantages:
They are on average cheaper than brushless ones.
They have two power cables and not three like brushless ones.
By varying the voltage (between a minimum limit and a maximum limit) the power and the number of revolutions vary. To activate them, just power them (you can make a direct connection to batteries or bench power supplies, useful for tests).
This is not possible for brushless.
In fact, the ESC of a brushed is simply a radio-controlled voltage variator while the ESC of the brushless is more complex (it supplies voltages in sequence to the phases), it is a real electronic controller without which the motor could not work.
For reverse (for permanent magnet ones) just invert the power cables. In relation to costs, the brushed esc is on average cheaper than the brushless.
Advantages of brushless.
Usually the brushless is quieter because it does not have brushes.
Sooner or later the brushes will have to be replaced in brushed motors because they wear out. Remember that the brushes scrape on the rotor creating sparks and therefore disturbances in the circuit. This inconvenience can be eliminated (or at least greatly reduced) with three capacitors.
The capacitors are used to eliminate the disturbances that the motor creates in the circuit and not vice versa.
Generally I find brushed motors more advantageous for ships (I think it's the opposite for airplanes) and less affected by noise. I'm sure I've forgotten something, but as it comes to mind I'll tell you.
https://model-boats.com/forum/147506 https://model-boats.com/wiki/147457