I've owned Marlin 94s in 38 (2) 45 (2) 44-40, relined to 38-40 and rebarreled to 38-40. also briefly picked up a 32 magnum. I have highest regard for these work horse rifles. My hands down favorite for sighting and fantastic balance is a 24 inch 45 Colt.
That said, I did get one Uberti 73 in 38-40. After handling several, I found for Cas I preferred the little round barreled carbine. It just handles better, for me, the shorter lighter barrel shifts the nose heavy attitude back to center neutrality I personally liked.
For authenticity, if that is important, the Uberti will look better. For plain shooting with no problems, ease of cleaning, sheer strength and safety, go Marlin. With a scope and the proper load of Hornaday XTP bullets, my 24 inch .357 Marlin Cowboy cuts near inch groups.
If you are willing to shell out $1600 for a Uberti, why not go to the auctions and buy a Marlin made gun on auction.
I have no knowledge of Remington made lever problems. I don't know if this is real or just people resisting change and anticipating the worst...like I often do. Seems like even a Rem made Marlin could be properly slicked up and any weakness addressed by a good cowboy gunsmith. Check out Long Hunter's web site.
Also if you can find one, why not consider one of the new Winchester .357 73 rifles made by Miroku. Miroku makes fine guns. My Japan made 1885 Browning Traditional Hunter in 38-55 was superbly accurate and well made. I won several long range side matches with it.
The new Winchesters list for $1300 in the short rifle. American Rifleman just gave a good review.