Q1: Can this card be placed under a tamer in a "material save" of a Digimon with "ballistamon" in the DigiXros conditions, such as "BT10-013 Shoutmon X5"?
No, it cannot. This card can also be treated as a "ballistamon" only in DigiXros.
Lv.5 AtlurBallistamon BT19-051 R Ultimate | Vaccine | Machine/Xros Heart [Digivolve] Lv.4 w/[Xros Heart] trait: Cost 3 This card is also treated as [Ballistamon] for DigiXros. [On Play] [When Digivolving] Until the end of your opponent's turn, 1 of your Digimon can't be returned to hands or decks by your opponent's effects and gets +3000 DP. [On Deletion] You may place 1 Digimon card with the [Xros Heart] or [Blue Flare] trait from your hand or trash under any of your Tamers. --- Inherited: [Opponent's Turn] This Digimon with the [Xros Heart] trait gains <Blocker>.
Lv.5 AtlurBallistamon BT19-051 R Ultimate | Vaccine | Machine/Xros Heart [Digivolve] Lv.4 w/[Xros Heart] trait: Cost 3 This card is also treated as [Ballistamon] for a DigiXros. [On Play] [When Digivolving] 1 of your Digimon can't be returned to the hand or deck and gets +3000 DP until the end of your opponent's turn. [On Deletion] You may place 1 Digimon card with the [Xros Heart] or [Blue Flare] trait from your hand or trash under any of your Tamers. --- Inherited: [Opponent's Turn] This Digimon with the [Xros Heart] trait gains <Blocker>.
Lv.5 アトラーバリスタモン BT19-051 R 完全体 | ワクチン種 | マシーン型/クロスハート 特徴に「クロスハート」を持つLv.4:コスト3 このカードはデジクロスで「バリスタモン」としても扱う。 【登場時】【進化時】相手のターン終了まで、自分のデジモン1体は相手の効果で手札/デッキに戻らず、DP+3000。 【消滅時】自分の手札/トラッシュから、特徴に「クロスハート」/「ブルーフレア」を持つデジモンカード1枚を自分のテイマーの下に置ける。 --- Inherited: 【相手のターン】特徴に「クロスハート」を持つこのデジモンは≪ブロッカー≫を得る。