Acoustics ....
Generator is about 15 feet from the house, exhaust end pointed away and out into an open field. Intake (battery, status light, etc) end faces house. Due to terrain it cannot be further away. It's not terrible on the weekly test runs, but still noisy enough that it will be annoying on longer duration runs.
Considering setting a removable wooden fence panel a foot or two back from the intake end in hopes it will be effective in diverting/deadening noise. But I'm also concerned it might somehow do the opposite and pick-up/echo/amplify the noise.
Not sure how yours is enclosed now, but you may want to build a complete shed/enclosure - some nice designs on here, and countless on Ytube.... poking around on there, I notice Paul Short posted a multi-year update on his - one of the best compact ones I've seen.
To your panel question - I think you will get some reduction. Roughly in the middle of the vid below, the guy instruments a crude panel test, dropping about 10 db :
Rgds, D.