The horse armor when equipped to the horse just becomes a single horse armor.
I made a creative world and put every item in a chest and then converted it and this is what I found.
Smooth stone disapeared from the chest
Dried Kelp Block -> Poisonous Potato
Striped Oak Log -> Iron Ingot
Striped Spruce Log -> Apple
Striped Birch Log -> Bow
Striped Jungle Log -> Arrow
Striped Acacia Log -> Coal
Striped Dark Oak Log -> Diamond
All wood and striped versions have become Heart of the Sea
Blue Ice -> Gold Ingot
Scaffolding -> Lead
Spruce Trapdoor -> Redstone Comparator
Birch Trapdoor -> Firework Rocket
Jungle Trapdoor -> Enchanted Book
Acacia Trapdoor -> Pumpkin Pie
Dark Oak Trapdoor -> Firework Star
Stone Slab -> Name Tag
Mossy Stone Brick -> Name Tag
Cut Sandstone Slab -> Name Tag
Cut Red Sandstone Slab -> Name Tag
Smooth Red Sandstone Slab -> Iron Horse Armor
Granite Slab -> Iron Horse Armor
Polished Granite Slab -> Iron Horse Armor
Diorite Slab -> Iron Horse Armor
Polished Diorite Slab -> Iron Horse Armor
Andesite Slab -> Iron Horse Armor
Polished Andesite Slab -> Iron Horse Armor
End Stone Brick Slab -> Iron Horse Armor
Smooth Quartz Slab -> Name Tag
Stone Stairs disappeared from the chest
Mossy Cobblestone Stair -> Banner Pattern Flower Charge
Mossy Stone Brick Stair -> Acacia Door
Smooth Sandstone Stair -> Chorus Fruit
Smooth Red Sandstone Stair -> Dark Oak Door
Granite Stair -> Cooked Mutton
Polished Granite Stair -> Spruce Door
Diorite Stair -> Armor Stand
Polished Diorite Stair -> Birch Door
Andesite Stair -> End Crystal
Polished Andesite Stair -> Jungle Door
Red Nether Brick Stair disappeared from the chest
End Stone Brick Stair -> Popped Chorus Fruit
Smooth Quartz Stair disappeared from the chest
Prismarine Stair -> Iron Pickaxe
Dark Prismarine Stair -> Iron Axe
Prismarine Bricks Stair -> Flint and Steel
Carved Pumpkin -> Hopper
Bamboo -> Gold Horse Armor
Lantern -> Cooked Salmon
Sea Pickle -> Raw Rabbit
Sea Grass -> Fire Charge
Coral Fans are either Book & Quill or Emerald
Dead Coral Fans are Item Frames
Coral and Dead Coral Blocks are Written Books
Spruce Button -> Nether Star
Birch Button -> Gold Carrot
Jungle Button -> Carrot on a Stick
Acacia Button -> Empty Map
Dark Oak Button -> Dragon Head
Spruce Pressure Plate -> Prismarine Shard
Birch Pressure Plate -> Nether Quartz
Jungle Pressure Plate -> Minecart with Hopper
Acacia Pressure Plate -> Nether Brick
Dark Oak Pressure Plate -> Minecart with TNT
Hopper -> Carved Pumpkin
Iron Nugget -> Stonecutter
Conduit -> Cooked Rabbit
Barrel -> Beetroot Seeds
Cartography Table -> Trident
Loom -> Beetroot Soup
Lectern has disappeared from the chest
Blast Furnace has disappeared from the chest
Smoker has disappeared from the chest
Composter -> Scute
Grindstone -> Totem of Undying
Stonecutter -> Iron Nugget
Fletching Table has disappeared from the chest
Smithing Table -> Beetroot
Bell -> Tropical Fish
Sea Turtle Egg -> Rabbit's Foot
Also dropping the items and converting the world still changes the block. It could be that the item ID in the Playstation Edition is different than Bedrock's item ID.