While Byron and I agree on a lot, it is not universal. There are planted tanks which use low or moderate light that benefit from added cCO2 and it won't create algae. If you are heavy planter, that amount of plants can and will benefit from added CO2. If is an issue of plant mass over lighting levels. ANd yes, with more plants you need more ferts.
I have done a pressurizes CO2 tank with carpeting. I used both baby tears and dwarf hair grass. The tears were planted sprsly in individual stems ( al slow tedious process). After a few months I had a massive amount and they began to lift off of the substrate, which was small size gravel. The roots stayed in the gravel but the stems became exposed so there was an inch of more of stems wiith no leaves on the bottom. So I had to pull up the entire mass, throw or give away most of it and replant individual stems and start over.
The dwarf hairgrass did much better. I was able to prune it like a barber. I had a special attachment for a filter which would let it connect to a tank vac. So it was snip and suck which kept the clipping from floating everywhere in the tank.
I like carpeting effects and I had a small 5,5 gal. tank and it served for an experiment I later transferred to a 20L. I use hygro poly. to creat a carpeting effect. Stem plants may send out root along the stem trying to such in more nutriens. So I would cut a short strech of the plant which had several such roots and planted them close to the front glass. I pushed those roots into the gravel to create a horizontal piece of hygro.
The plant wanted to start growing upward, but I would prune it to keep it low. Eventually, it would start to grow horizontally and would make fewer attempts to go up. However, it would always keep doing this and that meant constant management by pruning. Here was the start of this in the 5.5 gal.
Btw- my pressurized co2 tank was a 50 gal. with 2 terraces set back at each level.
I replanted it over the 8 years I had it several times. Here are two incarnations.