Ah well, I guess I'll always do things different. Me, I'd just make a long rectangular box, with centers on each end to hold the work, and a electric drill to spin it. I'd have the top of the box just high enough to be level with just how much I want to take the stock down, and a taper would be just as easy. And the box would be made so a power hand belt sander, or planer, would set on each side, then just slide it along. Yep, it will work, not actually done it this way, but have used a power hand planer on a lathe, to make a couple of carving mallets. That was holding it by hand, and boy, did I ever have to be careful, because it really, really, removed stock FAST, still got the mallets too. I figure this would be a whole lot less hassle than making a router lathe. But, I suppose you could use a router this way too, but probably have to have a little 'wiggle' room to shift it back and forth. In fact, some time later, I'll be making a barrel spinner somewhat similar to this, belt sander only tho.
And remember, just because this is the way I would do it, doesn't mean you should do it. So, if you do it like this, and get hurt, don't blame me.
"It ain't what you're told, it's what you know." - Granny Weatherwax
Gather the villagers, pitchforks, torches; we march at dusk!
Some days, the supply of available curse words is insufficient to meet my demands.
.....Call me a craftsman, artisan, or artistic, and I will accept that. Call me an artist and you will likely get a quite rude comment in return. I am not a @#$%ing artist.