I just took a quick look at "spiritual" in the NT. It occurs in 23 verses in the KJV. It never, ever refers to a disembodied spirit of some kind. In fact, it occurs quite often in connection with living human beings who have physical bodies. Here are some examples. (I give these fully realizing that asterisktom, after taking me to task after I referred to theologians, then deciding not to play the copy and paste game with me, may ignore this.
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Ro 1:11 For I long to see you, that I may impart unto you some spiritual gift, to the end ye may be established;
1Co 2:15 But he that is spiritual judgeth all things, yet he himself is judged of no man.
1Co 3:1 And I, brethren, could not speak unto you as unto spiritual, but as unto carnal, [even] as unto babes in Christ.
1Co 14:37 If any man think himself to be a prophet, or spiritual, let him acknowledge that the things that I write unto you are the commandments of the Lord.
Ga 6:1 Brethren, if a man be overtaken in a fault, ye which are spiritual, restore such an one in the spirit of meekness; considering thyself, lest thou also be tempted.
1Pe 2:5 Ye also, as lively stones, are built up a spiritual house, an holy priesthood, to offer up spiritual sacrifices, acceptable to God by Jesus Christ.
So, "spiritual" (an adjective) in the NT never means the same as the nouns "spirit" or "ghost." (Note: "Spirit" in Matt. 14:26 is not the normal word for "spirit" as in "Holy Spirit" or the human spirit, but phanstasma. If Jesus no longer has a physical body, is He now a phantasma, a ghost?)
Ro 1:11 For I long to see you, that I may impart unto you some spiritual gift, to the end ye may be established;
1Co 2:15 But he that is spiritual judgeth all things, yet he himself is judged of no man.
1Co 3:1 And I, brethren, could not speak unto you as unto spiritual, but as unto carnal, [even] as unto babes in Christ.
1Co 14:37 If any man think himself to be a prophet, or spiritual, let him acknowledge that the things that I write unto you are the commandments of the Lord.
Ga 6:1 Brethren, if a man be overtaken in a fault, ye which are spiritual, restore such an one in the spirit of meekness; considering thyself, lest thou also be tempted.
1Pe 2:5 Ye also, as lively stones, are built up a spiritual house, an holy priesthood, to offer up spiritual sacrifices, acceptable to God by Jesus Christ.
So, "spiritual" (an adjective) in the NT never means the same as the nouns "spirit" or "ghost." (Note: "Spirit" in Matt. 14:26 is not the normal word for "spirit" as in "Holy Spirit" or the human spirit, but phanstasma. If Jesus no longer has a physical body, is He now a phantasma, a ghost?)