no. 9 is mild enough that I doubt you have done much, if any, damage, especially if you have been wiping the bore dry. Still, I like to use a lightly-oiled patch after drying the Hoppe's out; if I am shooting again soon, I follow the oil with a dry patch; if it's going to be a few days, I leave the oil in place.

Gun polymers these days are pretty impervious to most gun oils/cleaners. Certainly, CLP is safe.

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Pisgah