Why is my bad eye less teary and more unfocused?

Lazy eye. Usually people refer to a bad eye when that eye has never had as good vision as the fellow eye, therefore it may seem unfocused. This is typically called amblyopia and can be due to causes from congenital cataracts to refractive issues such as astigmatism, nearsightedness, etc. Local causes with the cornea, etc., can cause both blurred vision and tearing so may seem toether.