To keep the answer short, no there shouldn't be much of a difference between total fat loss on a keto diet versus a "normal" diet. Caloric deficit is the most important part but there are also a few other things that should be met. Assuming you meet the basic standards then your weight loss should be the same as the keto diet, the only difference is how your body reacts to a specific diet. Here are a few guidelines that come from Lyle M, as well as a few of my own from experience.
1. Figure out maintenance calories and drop no more than 500 from that number.
2. Eat at least 1g of protein per lb of bodyweight. You can eat more though 1g is enough.
3. Get a minimum of 15-20% of your calories from fat. Now if you plan on eating some bad fats I would suggest more than 15%, if you plan on getting most of your fat from EFAs then 15% is enough.
4. After you figure out your intake from 2 and 3, then fill the rest with carbs until you reach your calorie goal. If you want to eat less carbs then make sure to fill the void with fats, or protein for that matter.
5. None of this matters if you don't perform at least 2-3 days of intense weight training per week to stimulate muscle fibers and convince your body to keep from burning them for fuel.
6. Perform cardio 2-3 times per week to help burn calories, increase insulin sensitivity, boost metabolism, etc...
7. Get some sleep. 8 hours a night is about a minimum and don't worry about not burning fat. Since you're not eating while sleeping you burn the most fat at this time. Also feeling refreshed in the morning will no doubt help your energy levels throughout the rest of the day.
8. Depending on your bodyfat level you should have a refeed/carb up once a week. The leaner you get the more often and longer you should do it. For 12-15% just do a once a week thing, I do mine on Sunday's. The rules for this day is shoot for a bit above maintenance calories and get all your extra cals from carbs. Don't get out of hand, keep fat intake low, protein moderate and carbs high. This will have a positive effect on leptin levels as well as refilling glycogen stores which have no doubt been lowered during a week of dieting. Especially if you go very low in carbs. You can eat "bad" foods on this day so long as you keep them in control and follow the rules. I often go out to mexican dinner, have ice cream and candy and what not. If your glycogen stores are sufficiently low then it is near impossible for carbs to be stored as fat on this day as it will go straight into your muscles. Just don't eat TOO much or you might start to spill over. Also fat intake must be comparitively low or else it will be stored as fat as well.
There are probably other things you should do but most of the rest is up to you. You may believe in low GI vs high GI carbs but I really don't think in the long run you'll notice much difference. High GI carbs might make you drowsy so that could be a reason to stay away from them. You should also get a good amount of leafy green veggies to keep your plumbing clean as well as providing nutrients to your body.
Supplement wise take some multivitamins, maybe an ECA stack if you need to curb appetite and speed your metabolism up a bit, some fish oil caps or flax oil to help with EFA intake, etc... Protein powder is good for getting enough if you can't with whole foods. You certaintly don't need anything else as long as diet and exercise is covered.
So from this you can follow a 40/30/30, 50/25/25, etc... and as long as you follow the guidelines they should all effectively work the same. The difference being which you enjoy most and find the easiest to stick to.
Hope this helped.
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