Courages, very courages, BrewVegas!
The topic comes up every now & then. Most here don't like it. I made some "beer brandy". Not from heffe, but from a 10% Gulpener Gladiator. And yes, you can normally taste the beer back in you drink. If you use a good beer at least. I tasted some Gulpener Gladiator back after distilling, but what really struck me, was when I smelled it: unmistakenly Gulpener Gladiator.
I have pot distilled & fractionated (CM) beer. The fractionated version is off course lighter in taste, which can be good, because pot distilled ... brings over a lot of taste. I ended up blending them and that gave me a nice drink.
Did some Irish stout (I think it is called) too. Came out all right. At least to my taste!

Never had that hops problem, or maybe once, when I distilled a 4.5% beer. The taste concentration (including hops) came over a bit too intense. A higher abv beer works better, if I recall. I tried 8% and 10% with good results. A 12% beer gave me less taste then expected.
Never added hops after distilling, though.
A few German distillers make "bier brand", actually.
Odin.
"Great art is created only through diligent and painstaking effort to perfect and polish oneself." by Buddhist filosofer Daisaku Ikeda.