I wasn't going to join these classic discussions at the farm as you've all been so kind so far and these discussions never seem to go well. This one's too hard to resist. :writing:
As with many grow myths ('flushing improves taste') there's some truth in it but it has been stretched into something too general. Those who oppose flushing with a passion always answer "should I flush?" with a big fat no, while in reality there are plenty of situation where a flush can prevent a bad taste. The OP however specifically said "always", in which case the answer is no.
I agree entirely with Jack Dupp. The whole flushing for better taste thing has been taken too far over the decades. If you haven't overfertlized the medium there's no need to leach elements from it either (which is what flushing does, like Jack said, you can't flush plants and 'underfeeding' isn't going to improve anything, on the contrary). Keep your plants healthy green (not too dark, not yellow) till the end and it will taste optimal. I smoked literally hundreds of strains/crosses over the past decades from hundreds of coffeeshops and dozens of growers, nothing tastes as good as homegrown herb from a plant that got what it needs (which is easier to measure and 'see' on hydroponics) and remained healthy throughout the entire cycle. Indoors is not about mimicking outdoors, it's about control, which includes preventing premature yellowing outdoors induced by suboptimal autumn weather.
The point of flushing was originally to leach 'excessive' nutrients from the soil outdoors, to prevent overfeeding during the last two weeks, amongst others once liquid P boosts became popular over slow-releasing P. The goal was never to deprive plants of their essential elements. If your green harvest doesn't taste good, you need to improve your drying and curing methods as yes, yellow harvest will taste and smell better (no hay smell from chlorophyll) than a green one if not dried and cured properly. I know growers who don't want to take the risk of drying for weeks and curing for months and want to get rid of the harvest asap, in which case depriving the plant of N for the past two weeks makes that a little easier.