Anonymous: Yes, there are people who consider themselves frum who are Conservative or Traditional-Egalitarian or non-denominational. Some people feel that frum can refer to someone who strives to be Torah observant and is shomer shabbos and kashrut even if they don't have Orthodox beliefs, or even if they believe in a level of egalitarianism that doesn't fit within the realms of Orthodoxy. The most Torah observant segment of Conservative Jews could be considered frum, for instance. Of course "frum" is usually shorthand for Orthodox. But it doesn't have to be.
Anonymous: Yes, there are people who consider themselves frum who are Conservative or Traditional-Egalitarian or non-denominational. Some people feel that frum can refer to someone who strives to be Torah observant and is shomer shabbos and kashrut even if they don't have Orthodox beliefs, or even if they believe in a level of egalitarianism that doesn't fit within the realms of Orthodoxy. The most Torah observant segment of Conservative Jews could be considered frum, for instance. Of course "frum" is usually shorthand for Orthodox. But it doesn't have to be.