No, I understand the motive for filing K-3 in hopes to get I-130 approved sooner. But it almost never works.
There's nothing in my comment suggesting one is filing K-3 to get it approved.
If I understand correctly, you're hoping to start inquiring about K-3 in hopes to unblock I-130. What you're missing is those deadlines for inquiries are often pushed further by USCIS all the time without notice. Even if you start inquring into your case, USCIS is not obliged to act upon your case faster. They are responsible for replying, sure, they reply with generically worded sentences...