What are your mid-/long-term goals? If you want to have a chance at climbing the ladder faster, sure, go to HQ. But word of advice, when your HQ stint is coming to an end, if you are not yet GEO4 for whatever reason, you may not be invited to Enhanced Posting Support (which aims to help outgoing HQ officers find KP roles in schools - although it is not guaranteed placement).

GEO3 to GEO4 promotion rate is quite variable these days. Some people get it in 2 years, some people get it in 7 years. Performance in HQ depends on your fit and adaptability anyway, since the work environment is a stark contrast from schools which we are more accustomed to.