i wouldn't think so. again, its probably a symbiotic relationship and fungi is probably feeding off nutrients in the soil that the plant isn't, the waste from the fungi is probably providing nutrients to the plants. i could be wrong, and there could be some competition for nutes, but unless you're seeing a weakening plant, id say the risk of a re-soil isn't worth taking. FFOF, from what i heard is great stuff and it might or might not contain active fungi. idk. the reason i mentioned the mycelium is because.. you must know removing the mushroom or fruit will not remove the fungi. i would hope to bet that your plant is happy in symbiosis with the fungi. it's happening right out in your lawn.
i say let it ride, enjoy the rarity and take a picture.