30/30 CARBINES
Good luck finding much info on these, since for some odd reason both types of guns are universally disparaged in the Age of the Mega Magnum rifle calibers.
Both however, are just fine (I have actually owned both calibers in a rifle/carbine, BTW). However, I would never own the 1894P specifically due to its noisy integral muzzle break (thank you again, Marlin).
I used to own a Trapper in .45 LC that I dearly loved, but parted with for monetary reasons. I'm going to get another soon.
I currently own a Winchester Ranger Compact (which is a Trapper with a shorter "youth" stock on it) and am totally satisfied with it. I chose it over a similar .44 magnum because I thought the 30/30 would give me a little more range and a little less kick, although I found that the 30/30 has a bit of a kick itself. However, it is surprisingly accurate at 100 yds. from a bench (1.5" when I'm at my best). Both Winchesters were reliable, good quality arms.
As for triggers, I owned a Marlin 1894 .44 mag once and was somewhat disappointed with its heavy trigger, hard lever throw and relative lack of accuracy (5 inches at 100). I also found it clunky and heavy compared to my Trapper, but then it has a longer barrel.
As for which is smoother, I found both brands of lever unimpressive and uncomfortably crunchy. Additionally, every lever action rifle passing through my hands to date has pretty much had a sucky trigger pull with a range of "bad" to "worse", so I guess if the crappy trigger on a Winchester bothered me I would look for a bolt-action rifle instead.
I will say that my Winchester seems to have smoothed up a lot with use.
The Winchesters are far from perfect, but they aren't by any means "junk" either, and seem to be lighter than the Marlins. Having owned a couple, I never developed any great compulsion to run out and buy a Marlin for its alleged superiority, and in fact, am going to buy another Winchester.
One thing about 30/30 vs. .44 Mag. - light practice reloads for the .44 can be more cheaply made; I was surprised to find out how relatively expensive reloading components are for the 30/30, what with it being so "common" and all ...
Good luck, you won't go wrong with either.