I would not use lava rock. First, it can leach metals into the water, which is not conducive to inverts surviving. Second, it is not very porous, the pores are large and not connected, so it doesn’t have a lot of surface area (compared to aragonite coral skeletons or live rock), so it won’t be very effective for biological filtration and definitely won’t be capable of denitrification. Third, it won’t help buffer PH, Alk, and Cal. And lastly, it just doesn’t look right, it doesn’t look like a reef.
Given the risks and the unsuitability, I would definitely recommend not using it. I would pick up either some real live rock (best), some dry rock that you seed with a little bit of live rock (better), or use dry aragonite rock (good).