Dodger,
I guess the simple answer is yes. The metabolism stays basically constant dependent upon lean body mass and activity level.
I'll tell you what I learned from dieting.
There is a difference in how the macros of foods affect the body's nutrient absorption and distribution, so in that sense a calorie is not a calorie, but the effect you'd derive from worrying about such things is insignificant for most of the population. For example, you would worry about that level of precision if you were a high level bodybuilder prepping for competition.
Starvation mode occurs at such an extended state of literal starvation--think what Holocaust prisoners suffered, where your body literally has nothing left to break down in order to feed itself--that no one in the developed world is going to experience this. The body doesn't enter starvation mode simply by eating at a deficit. If you change nothing else--no change in activity, muscle gained, etc.--your daily energy expenditure will drop as you lose weight, but that's not due to any metabolic damage. That's because you need fewer calories to sustain a body at 180lbs than at 220lbs.
Body Recomposition is a great site to learn more about this if you want to go into greater detail.