I don't have any experience with VA loans specifically but:
My wife is the brains of the operation here and is telling me that you should get "approved" for a loan vs "pre approved" as that will give you more leverage during the negotiating process, close faster, and less chance of a lender backing out, changing programs, or whatever other hassle you might run into when the lender sends things to an underwriter.
Getting that all out of the way ahead of time while you are still in the searching process saves time.
We had a deal fall apart because of the mortgage company who had pre-approved us for a loan could not get us approved. We were under contract for over 6 months on this place while the broker tried and tried again to get the loan past the underwriters (multifamily in Rural Alaska, already a PIA to begin with). HE finally got the the loan through the underwriters and we were ready to go with it, but the Mortgage insurance company would not insure it so the loan fell through.
We were out 6 months of time and energy, the owners were out time and rent, and our broker ended up quitting his job.