Correct... if you ride like a grandma or know what tyres do work together.
A Michelin doesn't match very well with most other brands because of the softer walls witch cause a different sideway movement.
Another thing which is important is the griplevel. When those are different you want the front tyre to be the one with the most grip. At the rear it's easier to deal with some sliding, on the front you're going down very easy.
But you miss out a lot by not changing tyres per set. Nothing rides better as a fresh set and most people count a complete other tyre because they have to pay a complete tyre but you don't throw away a complete tyre but only 10 or 20% and that is a small price for the joy of a fresh set.