If the piano is behind you, probably not too bad. Any room furnishings even curtains & carpet affect the sound. Get a copy of Robert Harley's book, The Complete Guide to High End Audio (2nd edition) to help with you system and media room. The piano cabinet definitely resonates, which is why a concert grand sounds fuller than the small upright piano in the parlor. So covering ir when not in use would help "remove" it from the room even though it is physically there. Temperature changes also have a big affect on string instruments tuning including the piano's strings.
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