It isn’t quite that simple but it is quite possible to have lots of nice looking healthy plants without the use of CO2 gas. There are more than enough plants that will grow well enough without added carbon. You may not get the most vibrant colouring possible or the most luxuriant growth but it’s still very attractive.
Since carbon availability isn’t being manipulated, the slight changes in it that no doubt occur naturally don’t seem to trigger algae spores to germinate.
The single most common reason for any algae to show up in most tanks, with or without CO2, is excessive light intensity. Intense light, especially a lot of hours of it, trigger algae spores to germinate quite reliably.
I did some experimenting with DIY style CO2 injection and for me, it just wasn’t worth the aggro. It was a very long time ago and I didn’t run it long enough to encounter problems with algae due to an erratic CO2 supply.
For a lot of years I have grown plants without any added carbon from gas or glutaraldehyde either.
I’ve used very little in the way of added fertilizers too - I don’t mind if plants grow more slowly.
Very recently I’ve started to use a little fertilizer - I have enough plants in a couple of tanks that there simply aren’t enough resources for them all. But I’m pretty conservative and currently don’t add any macronutrients, though that might change down the road.
I avoid trying to grow plants that simply don’t fare well without additional carbon. There are certainly plenty of plants that do well enough without, so it’s not a problem.
An example would be Ludwigia inclinata var. verticillata 'White'. It’s just not going to do well without both intense light & additional carbon.
I can grow it emersed if I want to but not in an aquarium unless I set one up as high tech with crazy light intensity, CO2 injection & heavy feeding. That’s just way too much trouble for one plant, gorgeous though it is.
Though in fact I do have intense lighting on all my tanks. It’s how they make them these days and mine aren’t dimmable.
So I mitigate that by growing a lot of floating plants. The blanket of
riccia in one tank is a leafy two inches thick & it just loves the intensity. It also provides shade to the water below. I have to keep thinning it so that it doesn’t shade too much. ,
And I rarely have
any trouble with algae.
A couple of times I have had a little bit of
cyanobacteria show up on the blanket of
Riccia fluitans. I’m not sure why it appeared but the patches were small & very easily removed along with a generous handful of the riccia. It didn’t affect anything else and so far it hasn’t appeared in over a year.,
I have only one tank with a green algae issue & I know why that happened - lighting.
I replaced the lights I was using on it with a new fixture that was a lot more intense &
much closer to the water surface than the old fixtures, which I wanted to use on other tanks.
The new light was just too freaking intense and too close to the surface - the mounts on it don’t allow adjustments for height. I should have realized it was asking for algae but hey, mistakes are part of life.
The algae, fortunately, is a hair type that does not attach to surfaces or plants. I’m actively cultivating it now in another vessel as a food source for algae eaters.
And though I want it gone from the tank it appeared in, it’s proving to be a very useful species (sadly, I have no clue what species it is) as food for raising scuds & keeping
Nerite snails well fed and hopefully it’ll help keep some new ostracods happy.
It will be quite a massive pain to get it out of the tank where it first appeared.
But to prevent it from happening again after I get it cleaned out of this tank, I have to either change the light for one that is a lot less intense or devise a way to suspend the current light
much farther away from the water surface - at least a foot away I think.
The worst algae problem I have ever had was also caused by lighting. It was a long time ago but I had a massive outbreak of red algae, the kind we call Black beard or Black brush. It killed about 3/4s of the plants. It was on all the surfaces.
I eventually figured out that the fluorescent tubes I was using were leaking quite a bit of UV light. The costing instead Deb them was defective.
But it took quite some time to figure that out and I ended up losing about 90% of the plants in the end.
Not a fun experience but it was educational.