Nobody so far was able to explain logically why USCIS would give somebody preference and process I-130 faster if free K-3 form was filed.
Nobody so far was able to prove correlation between K-3 filing and faster approval.
Occasionally, filers who had both I-130 and K-3 were approved fast. However, random luck also applies to different cases at USCIS. For example, while majority of I-751 filers wait around 2 years, some lucky users (less than 0.5%) get approved super fast, within a month. They don't file anything else special, they're not married to a member of military or anything else. Just regular people.
Yes, there is correlation between I-130 approval forcing K-3 getting closed. But I don't see how and why K-3 would speed up I-130 approval.
Good luck!