What do you honestly think would happen if you did, assuming that your calories were limited to an amount that kept you at a consistent healthy weight for your size?
Restricting calories for weight control works as well as restricting lines of code for bug control. At a high level, it works. Especially if you have quality lines of code.
However, consider the trivial case of your calories coming from poison. Not shockingly, strict equivalence is out the door.
Which is not too say it is a worthless proxy. It is quite good, actually. But it is just a proxy.
Headaches from too much sodium, acne breakouts, blood sugar crashes, poor mood, high acidity in stomach, digestive problems, bloating, etc. Eating nutritionally-poor food has immediate consequences.
Not to say this is a myth like Chinese Restaurant Syndrome, but there is honestly a lot of evidence either way so we can't make establish a causative relationship for everyone. It is quite possible for people to have a short term reaction to salt because the hormones in charge of water and sodium balance can take several days to stablise, but again, we are unsure of long term consequences especially on an individual level.
The rest of your symptoms suggest that you are either eating too much like the guy from Supersize Me, or have more underlying health issues that require a better designed diet to heal. It's not food but how you eat.
However, consider the trivial case of your calories coming from poison. Not shockingly, strict equivalence is out the door.
Which is not too say it is a worthless proxy. It is quite good, actually. But it is just a proxy.