The tanks aren't completely devout of floaters. Currently transitioning to hygroryza. Much easier to maintain but it takes up significantly more surface area.
If your tanks are densely planted, the water should be pretty crystal clear. More so when running co2. The trick with floaters are that they have a fast metabolism, similar to anacharis, hornwort, etc... And are great at soaking up excess nutrients or nitrates. If you've never had such plants and just add them, the impact is very noticeable.
I think my mistake with floaters was that they were mixed with other types and left unchecked for too long. If you leave them as single species per tank, each type when in mass actually look very pretty. I'm still quite fond of frog bit but most intrigued by dwarf water lettuce as I've managed to have short stubby growth like cabbage or longer wide spreading form depending on the light and nutrients fed. If learned you can modify fast growers using the same methods.
Patrice has inspired me to do an experiment adding a million fine airbubbles into one of my tanks. The immediate change was in livestock being more lively, likely due to the increased circulation. Time will tell on how the plants adapt.
"I am Groot", the faithful protector