There are a few different concepts being mixed up all in 1 topic here.
Let us start with a pot still. Heads components are present all the way through the run. You use power management to try to maximize the heads given off early in the run, so that by the time you get to the hearts the concentration in the product is low enough to be acceptable.

By using low power (reduced energy input) the vapour path has a chance to absorb and release some energy to the air. This slightly cools the vapour so that some of the ethanol in the vapour re-condenses into (HOT) liquid and falls back into the boiler. This increases the concentration - compresses - the heads. Too much power in and you overpower the ability of the vapour path to loose heat, it gets hot and all the vapour stays as vapour. No heads compression.
Every other modified still - hybrid - reflux - packed or plated - they all introduce ACTIVE cooling to increase the amount of ethanol that gets sent back to the boiler. Further compression of the heads as these have a lower boiling point and remain as vapour at the temperature established in the still column/vapour path.
You can do NOTHING about the boiler temperature. It will boil at a temperature determined by the mixture of liquids in it. The only thing you can change is the amount of vapour the boiler produces. More power = more volume of vapour.
It is possible, by careful control of fermentation conditions to reduce the amount of heads produced during fermentation, but this is reduction not compression. If you stress yeast with heat, too much sugar, by forcing it to produce too much alcohol, or by making it ferment too fast - these all have a side effect of making the yeast produce more of the products that we call heads. Careful fermentation produces a cleaner starting point for distillation.
There is one other aspect that was mentioned. Pre-treatment. You can reduce the amount of heads that goes into the boiler in the first place. Less in means less out.
For a pot still this usually involves collection of low wines at less than 30% ABV. In this condition they will partially separate out by density. Tails will sink to the bottom of the container and heads will float. It is inefficient (heads and tails are both soluble in ethanol) but if you charge the boiler from the middle section you can slightly reduce the heads/tails components. Go above 30% and the solubility increases dramatically and there is no separation.
For a reflux still you can also manipulate pH and add chemicals that will further reduce heads components - but they are quite advanced techniques that many folks never bother with.