The 44 is certainly an effective killer, but as gwhilikerz says, there simply ain't no comparison. Ballistically the 30-30 is way ahead of the 44, and the 30-30 stands even stronger in the Handi as it capable of using spire point bullets. I drive the Nosler 180 Partition to 2260 fps from my 30-30, and that ain't even a load that is beyond SAMMI specs. The load has a point blank range of 200 yards, the 44 don't even come close to that. Use the Nosler 150 Partition and velocity right at 2400 fps is achievable. To put that in perspective, the 309 JDJ (30-30 rifle performance from a pistol barrel) drives the 150 Nosler to 2300 fps or so, He claims it is a 300 yard killer on game to 400 pounds.
All that said, I prefer my 44 to my 30-30. Both are capable of less than 1" at 50 yards (a long shot for me in the woods) But I simply shoot the 44 more, am more comfortable with it, I've taken 4 deer with it, and find it to be all I need. I went on a search this year for a rifle I might like better, but so far no dice. If my 38-55 ever gets here, I may have something I like better, but it will have to be a real shooter to upstage my 44.