I wipe oil or other protectants on my carbon blades before storage to minimize the risk of blade staining and rust while in storage, even when storing them only over night, I rinse carbon razors being taken from storage under hot running water and wipe immediately before shaving.to rinse off the mineral oil or other protectants. I do this to minimize the potential for residues possibly affecting my skin. This precaution is especially true for synthetic gun rust protection products which are not meant for ingestion or application to the skin.
Many "wonder" protectants work well, but I do not fully trust any product's water displacement claims and only apply protectants to blades that are fully dry. I only use mineral or organic oil products that are well proven for blade protection or respected firearms rust protectants for long term storage. I store blades only in dry locations.
I wipe all razors before stropping so that dirt, protectants, or moisture cannot affect my strop. I also wipe my strop with my hand before use to remove any dirt or grit from the strop.
HTH