Do all of the legendary Pokemon you battle in Gates to Infinity become your friend?

I’m talking about the legendaries that appear in the companion mode challenges. I know that some do, but do all of them become you friend? If not, should I bring a gift that Cinccino makes with me?

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These are all the legendary/mythical Pokemon you can befriend#638 Cobalionコバルオン Random Missions when at Royal Rank#639 Terrakionテラキオン Random Missions when at Royal Rank#640 Virizionビリジオン Automatic#641 Tornadusトルネロス Quiet Tundra,Dream Island,Moonlight Forest#642 Thundurusボルトロス Iron Rust Mountain,Large Pit,Smokey Mountain#645 Landorusランドロス Breezy Plains#647 Keldeoケルディオ Automatic recruit after ending#648 Meloettaメロエッタ Speak to Meloetta after creating the Musical

These Pokemon cannot be recruited but can be battled again:

#249 Lugiaルギア#250 Ho-Ohホウオウ#643 Reshiramレシラム#644 Zekromゼクロム#646 Kyuremキュレム#646 White Kyuremキュレム#646 Black Kyuremキュレム