Live rock like Fiji is more porous than the base rock. It is lighter in weight, and IMO looks better. Those tiny nooks and crannies help with filtration...the reason for rock in the first place.
If I used base rock at all it would be on the bottom, with live rock on top, not just a piece. Base rock will get the nasty brown algae before the live rock. The critters that live in live rock are fish food.
I had 80 lbs of live rock for over 4 years before I got aiptasia from a piece of rock that came with coral. A little Joes Juice and some peppermint shrimp and I haven't seen any for a while now.
I understand if you can't afford the good rock, to just use the base rock, but to get only base rock because you are afraid of hitchhikers and algae is just plain misinformed.
Having algae is a part of life with a fish tank. The unwanted hair algae is from bad water, bad lighting or poor upkeep like no water changes. Algae is what lawnmower blennies, crabs, snails and tangs nibble at all day on the rocks, they will starve without it.