The Wix site lists the 51334 as their replacement, deoing a part# search.
It has an 8-11 PSI BPP listed.
On the FRAM site, it comes up as the PH3593A as both an Isuzu and Honda #.
Basically, you use the std. Honda filter from a few years back.
Since the engine is new, I'd assume it's under warranty.
IF it were me, I'd stick with a filter that the manf. (filter or Isuzu) recommends as a replacement, at least for the first couple changes in case there happen to be any engine problems.
Conceivably, a filter manf. could deny a warranty claim if you chose a non-recommended filter from their list.
After that, if you want to go oversize, the Wix 51344 (or quality equivalent) would be a good choice IMO.
I just don't see any reason to deviate substantially from factory BPP's.
Since it's for a generator, the possibility exists that it may run unattended for extended periods of time???
In case the engine were to run out of oil, the last few sips or oil/air out of the sump would be blocked from circulation sooner by a higher BPP. Just a thought-