Piano Forum

Pedal markings, with a few notable exceptions (one bring the Beet. Sonata in my sig), are mostly just advice, especially if you're playing out of something like Alfred.
Whatever sounds best to your ear.

I would say that as a general rule, you should study pedal markings quite carefully if they were made by the composer. Or course, quite often they are not as exact as other indications in the score, and need to be interpreted and sometimes "translated" to modern conditions. I think you are doing exactly right in seriously considering Liszts markings before making your own decision.

No pedal markings can be taken completely literally in the robotic sense - "press down here and lift here and everything will be excellent". In Wilde Jagd, I think you are right that 1) on the first page you need to change the pedal in a couple of places where it's not indicated  2) the middle section need to be pedalled although there are no markings.

However, in my opinion you should continue to explore the possibility of longer pedals at the beginning. I think your version risks coming out as a bit too dry. In the middle section, I would consider using less pedal, so as not to drown out the characteristic staccato rhythms in the left hand. Of course, this also requires you to use finger pedal, which you are not doing in your unpedalled version.