Hate crime is where a criminal offense took place motivated or exacerbated by prejudice. It cannot be a crime without the criminal offense.
Hate 'incident' is anything, at all, logged by police that was reported as causing someone offense. There is no threshold of what counts, no time the police ever say no, that's not an offense/not offensive, it can be verbal, it can be on social media, anywhere, and includes things such as misgendering, using the wrong name, making statements of reality etc.
As seen by how many people arrested now, isn't chargeable and does not involve the breaking of the law, and is very questionable as something the police should be involved in as it involves politicisation of the police (Note that death threats, rape threats, pictures of males holding murder weapons on twitter never followed up at all) and represents a massive public purse cost. Which the general public repeatedly don't appear to be on board with.
I wonder who it benefits to try and conflate a subjective 'offense' merely recorded without question, with a 'hate crime'?