I don't think anyone would argue that they're better or really any worse. I've called and killed hundreds of animals with a hand call. I've called and killed more with an e-call at this point in my life but I also use an e-call way more. So it's not really comparing apples to apples there either. Who's to say those same sounds I was playing on the FoxPro wouldn't have worked if they had been made on a hand call? A howl, rabbit distress, woodpecker and pup distress is literally what I've seen work more than any other sound. Which can be replicated on a hand call. So other than saving breath I don't see much advantage of the FoxPro other than volume. Since we're on that topic. I've called up very few coyotes with the e-call that I couldn't have with a hand call.
I've read diaphragm calls and some mouth calls produce ultrasonic sound that most e-calls won't. I can't say that's true or that it's not. But I do like the challenge of calling with a hand call and I think that a lot of people feel the same way. And for me it's a little more fun even because it's a sound I'm producing, not something that's on a continuous loop. Which in my mind may be enough to catch an animals attention if it's sounding differently and hitting a different pitch every now and again. But that's just one persons opinion.
But no, you can't replicate den raid or a coyote fight on a hand call like you can on a FoxPro. Which to me ain't too big of a deal because I have used Tony Tebbe's sound Den Raid and also I've used coyote fight on several stands to see if they would bring a coyote in. I've called and shot exactly 1 coyote from each of those sounds. So to me as far as the coyote fight or Den Raid sounds go I can take them or leave them. For no more than I've seen results from them I don't really see it as a huge game changer. At least not in the area I'm at. Coyotes growling and fighting and yelping hasn't sold more coyotes on realism for me than just plain pup kiyi. As a matter of fact I'd venture to guess hearing a coyote getting destroyed has probably scared more coyotes off of the call than anything.