The math that governs the jump height on honey blocks is different than on Java Edition.

On Bedrock, the player jumps:

• About 1/2 blocks without any effects;
• About 11/16 blocks with Jump Boost I;
• About 1 block with Jump Boost II.

On Java, the player jumps:

• About 3/8 blocks without any effects;
• About 5/8 blocks with Jump Boost I;
• About 1 1/4 blocks with Jump Boost II.