If you're on a schedule & trying to get some dramatic results, I'd first limit it to a cheat MEAL instead of a cheat DAY. I would also make it more like a cal-up and a carb-up instead of a free-for-all feeding frenzy.
When I'm on a cut for a show (but still far enough out that I can afford to enjoy a little), I'll make my cheat meal on a Saturday night if I'm going out w/ friends for dinner or out dancing. The "cheat" part is more about having a few drinks, maybe some bread (like the stuff they give you at steakhouses) w/ a good hunk of steak, maybe some fries, but more likely a baked potato (still prefer them plain). Its not about shit-loading but rather just a refeed w / more variety of food and more cals than you are regularly consuming.
The purpose is two-fold - to introduce more variety, a little garbage food, and a good cal intake if you've been on a restricted diet - both in terms of variety and total cals. What I've found if I am on a very restricted choice of food (e.g. chicken, broccoli, eggs, almonds, potatos and protein mix), I usually get lactose-intolerant and pretty much can't digest anything outside of this list. The reason this can be dangerous for a competitor is like this - one time during a prep, I went w/ my trainer (note WITH my trainer - he said it was ok) to Wendy's and picked up a Greek or Caesar Salad - anyway a chicken & salad that had some grated cheese on it. I was careful to avoid the cheese, but must've eaten some because I immediately got bloated up w/ a miserable stomach ache that took a day to get rid of. If something like this happens on show day, you're done. Your 4-6 months of prep ruined.
And as noted above - a cheat meal is for sanity - it can be hard to keep a boring diet going for weeks on end. It limits your life socially - so having that one "out" to get together w/ friends and not be the annoying person who can't eat or drink anything fun, or just never goes out - trust me - competition dieting can be very hard on your social life - I've lost friends during my preps. And having that one "out" per week also helps to refocus once its over so you can dive into another boring week of chicken & broccoli
If you were doing a keto diet, this would equate to a carb-up. if you want to keep the progress moving w/ your cutter (keto diet or otherwise), instead of shit loading on your cheat day -- two things will help: 1) keep it to a cheat meal (or if it helps - set a time limit like 2 hrs to keep things under control) and 2) use it to up the cals, but keep your food choices still good quality - e.g. a good steak or burger, potato, sushi (one of my favs), maybe some drinks, maybe a dessert.
Here's how you know the diet is working - for your cheat meal you look forward to the flavor of your steak or sushi, and have no desire to eat chocolate.