The OP is unclear. Are you asking about the model 1860 Henry vs. the model 1873 Winchester or are you asking about the Henry made model 1860 Henry vs. an Uberti replica of the 1873 Winchester? Several questions seem to be being answered.

The 1873 Winchester is obviously and improvement over the 1860 Henry, which it was an outgrowth of. The 1866 Winchester is in between them and was actually called the "Improved Henry" whereas the 1873 was a big improvement over the 1866 Winchester, mainly in cartridge since the 44-40 or 44 WCF as Winchester called it, is more powerful and better in about every way than the 44 RF of the earlier two guns. Today's replicas, not so much since they all shoot 44 WCF as opposed to 44 RF. The original Henry though, as was pointed out, has some design limitations. So the 1873 model wins.

As to the Henry branded 1860 model Henry...they are expensive and are made here in the USA. The former is bad, the latter is good. I will take Shrapnel's word for it that an Uberti is better. An Uberti made 1860 Henry or 1873 Winchester can be had for about half of what a new Henry branded Henry model 1860 replica/reissue can be bought for. I have not seen Shrapnel be a big fan of Uberti's over the years here, so if he says an Uberti is better than something, it probably is.