Ok so you are indeed including the 1‐step move among the movement possibilities — I suppose your ‘2.manticore’ is different enough from a lame/stepping/blockable osprey/lama (and mutatis mutandis for the ‘2.gryphon’) to merit a different name… maybe. If it's not being distinguished from a ‘true’ osprey/zephyr in a single game I'd be tempted to leave that name as is, though avoiding going too near overlexicalisation is a personal preference.
If the distinction does need to be made within a game (at which point the tradeoff changes imo), then ‘2.manticore’(/‘2.griffon’) is probably fine, if perhaps closer to the (presumably also present in a game featuring both of these) actual manticore/griffin than might be desirable, though I'm not really one to ask for original name suggestions (and M&B13 is apparently lacking names for lama/rook and zephyr/bishop compound with which we could (ab)use M&B8's ‘‐lander’ suffix). Perhaps a name based on lama/zephyr/osprey/ostrich/whatever you want to call them would be more apt? ‘Running Osprey’ isn't altogether without a ring to it…
Ok so you are indeed including the 1‐step move among the movement possibilities — I suppose your ‘2.manticore’ is different enough from a lame/stepping/blockable osprey/lama (and mutatis mutandis for the ‘2.gryphon’) to merit a different name… maybe. If it's not being distinguished from a ‘true’ osprey/zephyr in a single game I'd be tempted to leave that name as is, though avoiding going too near overlexicalisation is a personal preference.
If the distinction does need to be made within a game (at which point the tradeoff changes imo), then ‘2.manticore’(/‘2.griffon’) is probably fine, if perhaps closer to the (presumably also present in a game featuring both of these) actual manticore/griffin than might be desirable, though I'm not really one to ask for original name suggestions (and M&B13 is apparently lacking names for lama/rook and zephyr/bishop compound with which we could (ab)use M&B8's ‘‐lander’ suffix). Perhaps a name based on lama/zephyr/osprey/ostrich/whatever you want to call them would be more apt? ‘Running Osprey’ isn't altogether without a ring to it…