I think maybe what is built up in your mind isn't representative to actuality. If we draw a line from one of the closer walkways on the "concept" map to the PP tower, then draw an equal line for reference to a place in DCA:
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Then look at it in Google Street View:
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It doesn't really take too tall of trees or building to cover up the hotel. That tree in the back I circled is 130 feet away and it's almost tall enough to cover the PP.
I think they'd be fine on sightlines.