Let's put things into perspective.
If the H-20 really is meant to employ turbofan engines of the D-39KP-2/WS-18-category (whether than be WS-18 or a brand new WS-XX model), and assuming that the H-20 sports the same number of engines as the B-2 - Then it is reasonable to expect that the H-20 would be bigger and heavier than the B-2, due to the greater cumulative thrust available to the H-20 compared to the B-2 (468 kN versus 340 kN).
In addition, there are the benefits of fuel efficiency as well. Namely, the larger the bypass ratio, the more fuel efficient the engines are. This translates to:
1. Increased range and combat radius; and/or
2. Increased airframe volume available for internal weapons bays (IWBs), fuel tanks, sensors, avionics and computing systems.
As for the difference in fan diameters between the F118 and the D-30KP-2/WS-18 - That's about one 30-centimeter/12-inch ruler, for visualization purpose. Moreover, if the H-20 is indeed larger than the B-2 (which I've heard rumors of this being the case), then there should be enough airframe volume to embed the engines, plus sufficient forward cross-sectional area of the aircraft body to hide the engine fan blades.
Otherwise, there could be some compromises as a result - However, if the PLAAF higher-ups deem the tradeoff from such downside is worth the overall performance and capability of the H-20, then it'll certainly get the green light.
TL; DR -
1. High-bypass engines on a large, flying-wing VLO platform shouldn't be too much of a problem, provided that they can be designed and engineered properly; and
2. The aforementioned high-bypass engine very likely isn't the same as the ones we are typically associated with (e.g. WS-20, CJ1000A, CJ2000 etc).
Side note: While lacking rather conclusive/authoritative information for the time being, I don't think we should be surprised should the B-21 be able to achieve long enough ranges, if not comparable to the B-2, provided the claim of the B-21 being powered by PW9000 engines with bypass ratio of ~4 is accurate, compared to the ~1.3 bypass ratio of the F118 engines.
Cross post my comment from H-20 thread
15,000-16,000km unrefueled range sounds about right. Given it's been speculated to be powered by 4xWS-18/D-30KP-2 if we apply the numbers and compare them to be similar to B-2 so about a thrust to weight ratio of ~0.205. The MTOW should be around 260 tons and the max fuel capacity around 118 tons. Applying a similar L/D ratio to the B-2 of around 20 would get a Max range of 16,000 km. This would make the H-20 the second largest in service bomber in the world at MTOW of 260 tons behind the Tu-160 with a MTOW of 275 tons. This is just speculative of course.
These calculations were done with the assumption the improved WS-18 has 120kN thrust and a cruise SFC of 0.68. I remember the roughly 0.68 number from a post that said they improved the fuel consumption of the WS-18/D-30KP-2 by 5%.