Edit: Fixed as of 3/4. You can now ignore this.

TL;DR: Untamed Wolf Edel's unlockable III-cast cannot be used in conjunction with any of her brave shift skills, which is the opposite of how her JP variant works. This includes both her "Omen of the Alpha Wolf" and "Stomp", the latter one no one cares about under normal circumstances.

Essentially, her mage/evoke form is very underpowered due to stuck with only one cast/turn, and slow to setup her LB. Whether this is a bug or a surprise downgrade is up for debates (though the former is significantly more likely). Acknowledged as a bug by Gumi as of 3/3.

Code Crap

GL

The basic is that the BS skills are missing from the T-cast unlock list on only the GL version.

"510953": {
    "name": "Omen of the Alpha Wolf",
    "effects": [
        ...
        ["Gain 3 uses of Back For More (Fe) (233676), Fire Wolf's Fist (233673), Heaven-Earth Assault (Fe) (233681), Invigorating Shot (Fe) (233675), Nightbringer Wolf's Aura (233670), Omen of the Alpha Wolf (233680), Shining Art - Gleaming Roar Strike (233682), Stomp (233671), Thirty Punch Combo (Fe) (233672), Twin Howls (233677), Wind Wolf's Shot (233674) and Wolf Pair Assail (233678)"]
    ],
"510955": {
    "name": "Triple Shining Art",
    "effects": [
        ["Gain 3 uses of Back For More (Fe) (233676), Fire Wolf's Fist (233673), Heaven-Earth Assault (Fe) (233681), Invigorating Shot (Fe) (233675), Nightbringer Wolf's Aura (233670), Omen of the Alpha Wolf (233680), Shining Art - Gleaming Roar Strike (233682), Stomp (233671), Thirty Punch Combo (Fe) (233672), Twin Howls (233677), Wind Wolf's Shot (233674) and Wolf Pair Assail (233678) for one turn"]
    ],
    "effects_raw": [[0, 3, 98, [3, 510955, -1, [233670,  233671,  233672,  233673,  233674,  233675,  233676,  233677,  233678,  233680,  233681,  233682], 2, 1, 1, 0, 1, -1]]],

Shining Art - Wind Magic Bullet: 238810~238814
Wind Wolf's Howl: 238815
Fenrir's Limit: 238816

JP

"510953": {
    "name": "覇狼の兆し",
    "effects": [
        ...
        ["Gain 3 uses of アライブショットFe (233675), ツインハウル (233677), フェンリルリミット (238816), リターンファイトFe (233676), 三十連拳Fe (233672), 双狼の蹂躙 (233678), 天殴地壊Fe (233681), 炎狼拳 (233673), 煌技・天覇咆煌 (233682), 煌技・風魔尾弾 (238810, 238811, 238812, 238813, 238814), 覇狼の兆し (233680), 踏み鳴らす (233671), 風狼の遠吠え (238815), 風狼弾 (233674) and 魔狼のオーラ (233670)"]
"510955": {
    "name": "T煌技",
    "effects": [
        ["Gain 3 uses of アライブショットFe (233675), ツインハウル (233677), リターンファイトFe (233676), 三十連拳Fe (233672), 双狼の蹂躙 (233678), 天殴地壊Fe (233681), 炎狼拳 (233673), 煌技・天覇咆煌 (233682), 覇狼の兆し (233680), 踏み鳴らす (233671), 風狼弾 (233674) and 魔狼のオーラ (233670) for one turn"]
    ],
    "effects_raw": [[0, 3, 98, [3, 510955, -1, [233670,  233671,  233672,  233673,  233674,  233675,  233676,  233677,  233678,  233680,  233681,  233682], 2, 1, 1, 0, 1, -1]]],

煌技・風魔尾弾: 238810~238814
風狼の遠吠え: 238815
フェンリルリミット: 238816

As a weird side note, you might notice that the actual T-cast ability (510955) is missing the BS abilities in both versions for whatever reason. Though pure speculation, I'm under the assumption the multicast is either overridden code-wise by the unlock when it happens, or that its just a mostly empty template of code documentation which was never updated. Or I'm blind and missed it.