not 100% true. some 5000 series apus are zen 2 based, specifically the 5300u, 5500u and 5700u (rebranded 4600u and 4800u for the latter 2 respectively), which are very common on mini pcs; i actually have not seen many mini pcs use the proper zen 3 u series apus. the one yusoff linked is also likely zen 2 based instead of zen 3. 5000h/hx/hs series is guaranteed zen 3. multicore performance (applicable to handbrake) should be similar between zen 2 and 3; zen 3's main improvement is in single core performance over zen 2, so some apps like photoshop can see decent gains with zen 3. general system responsiveness is already pretty good with zen 2 though. u can see the relative performance of most of these apus here:
for general day to day use, i dont see the point spending the premium getting h series over u series.
the numbers are for general market segmentation (not always accurate). 3 for entry level, 5 for mainstream, 7 for enthusiast and 9 for extreme high end. same idea with core i3, i5, i7 and i9 from intel.