Slow weight loss to give the body time to adjust is what I've observed over the years.
This, plus strength training, is also the recommendation for people losing large amounts of weight and trying to avoid loose extra skin. Your skin expands and contracts to your current size and when you change too quickly it can't keep up. If you gain a lot of weight and then quickly lose it, you get stretch marks. If your body reshapes to a larger size and then you lose weight rapidly, the skin doesn't have a chance to keep up, and you get that weird big belly button, and keep some of your man boobs and love handles permanently. Working out more helps because you are filling up some of that skin, but really it's about doing it gradually.
The other recommendation I'm seeing more and more often is "reverse dieting", which is basically a slow yoyo down. Work really hard, lose 15, and then switch to maintenance calories or a little more, and do some weight lifting. Let your metabolism reset to maintenance mode, eat a bunch of protein to add some muscle, including some of the muscle you inevitably lose when cutting calories, and then get back to the diet with a little more muscle behind you burning extra calories in your sleep.
I don't know whether this is a new fad diet and Otis is on timeout so I can't test it by telling him about it and seeing if he immediately commits and declares himself an Adonis. But it's something I'm definitely trying to do as I lose a bunch of weight.
My approach is to go on a hard push of several weeks up to a couple months, cut alcohol, cut calories down significantly, eat enough fiber and protein to avoid health problems and muscle loss, keep working out enough to keep my muscles active and maybe growing a little, and then back to maintenance. I'm also working on my core, back and chest/arms. Yes i skip leg day, but only because my legs are absurdly strong compared with my weak upper body from cycling and running over the years. I tone them with yoga and running/rowing but I'm not doing pistol squats right now.
I see a noticeable improvement in my upper body - not just muscles, but a move from the forward drooping beer gut to more of a barrel chest. It's not dramatic, but it's definitely happening. I'm hopeful that as I lose more weight it will continue.