Would you allow it to trigger regaining health or bonus to the next ability check?

I didn’t find anything that would prevent me using my bite vs a freshly killed creature to gain some health back? Am I missing something, or has done the research?

Vampiric Bite

Your fanged bite is a natural weapon, which counts as a simple melee weapon with which you are proficient. You add your Constitution modifier, instead of your Strength modifier, to the attack and damage rolls when you attack with this bite. It deals 1d4 piercing damage on a hit. While you are missing half or more of your hit points, you have advantage on attack rolls you make with this bite.
When you attack with this bite and hit a creature that isn’t a Construct or an Undead, you can empower yourself in one of the following ways of your choice:
You regain hit points equal to the piercing damage dealt by the bite.
You gain a bonus to the next ability check or attack roll you make; the bonus equals the piercing damage dealt by the bite.
You can empower yourself with this bite a number of times equal to your proficiency bonus, and you regain all expended uses when you finish a long rest.

The only point I did find it that it said creature, but a dead body is considered an object?(I know DnD rules are weird) That is why I’m wondering what you guys would RULE in this case, because these classifications make no sense in 50%+ of all cases.

humanoid /hyoo͞′mə-noid″/

adjective
Having human form or characteristics.
Having the appearance or characteristics of a human.

Like a Satyr, should still be a humanoid, not only a fey. A giant is technically just a very big human. These should be sub categories under humanoid: fey/giant/undead. But that is another topic.