Actually the AW101 is even larger than the Z-8/18 at 14.6 tons MTOW compared to 13 tons MTOW, while the UH-60/S-70 is 10 tons MTOW. Completely different classes of helicopter and completely unsuitable for comparisons with the S-70.
NH-90 weighs in at 10.6 tons MTOW and is definitely a far more suitable comparison, but then again China does not have the intimate knowledge of that helicopter like it does the S-70. The US military continues to use this helicopter actively in a multitude of variants so it's not at all clear to me that this design is obsolete by any means. China will have no doubt modified the basic S-70 design for its own needs, just as the US military has the UH-60, MH-60, SH-60 and several more variants all based on the same core design.
I also don't agree with some people's implication that a Z-20 with similar body config to the NH-90 must be "better" or "more advanced" than one that resembles the UH-60.
The general body config of the UH-60 and the NH-90 are clearly different, but the differences are not about one setup being inherently "more advanced" than the other, they are only different because the two helicopters were designed under different sets of tactical requirements.
The NH-90 was designed under NATO requirements to be a well rounded multi-purpose medium helicopter, it can fulfill some land and naval assault roles, but must also be able to hold a variety of cargo, such as NATO pallets or an ATV. With these requirements, it needs a vertically spacious cargo bay and a tail door, which means it has to use a tricycle gear setup, high tail boom, and smaller side doors. This is not necessarily a problem, but there are costs to be paid: the center of gravity will be higher, the smaller side doors will be less useful in assault mode (by assault I don't mean like an Apache, but when it is used for front-line troop deployment and extraction), tricycle gears with shorter wheelbase makes it harder to land under rough conditions, taller cabin and retractable gears requires more structural weight, a bigger side profile is more susceptible to crosswind, etc.
In comparison, the UH-60 is also a general purpose platform but it put a bit more emphasis on front line performance rather than cargo versatility (also a side effect of its C-130 loading requirment). It is not good at holding cargo pallets or ATV internally, but the config allows for a lighter, more stable, and more streamlined body, which means this config will have better mobility given the same engine.
Structurally, the NH-90 is indeed more advanced than the UH-60 in that it uses more composite materials and is perhaps more refined in structural design, but this has nothing to do with the general shape of the aircraft, it has everything to do with the fact that NH-90 is designed more recently. The Z-20's structural design and composite usage would be as good as what AVIC is capable of, and how good that would be has nothing to do with whether it looks more like the NH-90 or the UH-60. One needs to realize that the Z-20 is not a 1:1 blueprint copy of the UH-60, so you can't tell how bad (or how good) it is by directly referencing the UH-60.
The fact that AVIC selected a Blackhawk-ish config means the PLA also emphasizes more on mobility and performance rather than cargo space versatility. It make sense given that they already have quite a fleet of Mi-8/17/171 for bulkier cargo and things that require tail loading (on the plateau they will have the Z-18), but lacked a high agility assault transport. On the other hand, NH-90's target users are mostly smaller European countries who may need to rely on the NH-90 as their main VTOL transport, so they'll need that cargo versatility.
In short, it is simple: different needs, different emphasis, different configurations.