Yes, the tank above has just shrimp in it.(fed daily)Thanks for sharing your experience. This will lend support to Jeffrey's analysis. Your tank has a very low bioload with no fish and it would be interesting if those using soil with fish and plants have the same experience.
I have a 5f tank with soil that never had algae in it for the 1.5 year setup so far. I followed Aaron Talbot's mineralization technique for the soil. It has 20-ish platies, 40-ish corydoras and a bushynose pleco and lots of shrimp and 3 kinds of snails I suppose breeding well. It has gone 6-7 months with no water changes. The tank is so clean of algae and the water clear I remember someone asking me if I use purigen. I've never had even oily biofilm which the small tank on the pictures above had at some stage but it dealt with it itself.
The only "algae" I've ever seen in the 5f tank is super minor diatoms once when I added 20 fish at once a year ago. Needless to say substrate was never vacuumed. I honestly don't think organic load in practice is an issue. I think it is to do whether it gets utilized in a tank via the various chemical processes and the likes, or maybe how fast...I don't know but cleaning or no cleaning makes no difference whether the tank is free of algae or algae ridden in my cases.
The tank in which I had persistent BBA does have high organic load(6 clown loaches and a common pleco on top of smaller fish) but the BBA disappeared when I stopped dosing anything, with the bioload remaining the same(probably higher because those platies breed like crazy) So it still doesn't explain why the BBA disappeared when I stopped adding nutrients and excel. The inhibition of BBA was visible when it started receding but I refused to believe my eyes until one day a coulple of months later I couldn't see any at all. Trust me it was such a relief. I'll try helping the plants with a bit of ferts and see how it goes now since algae is gone.
The second tank in which I briefly had BBA while dosing ferts and excel had almost no bioload at the time, it had 6 shimp in it if I am not mistaken that I didn't feed. I was never going to dose ferts and excel on a permanent basis because I didn't want it to affect the shrimp so one weekend I cut out all affected BBA plants which was the dwarf sag covered in it. I didn't dose anymore anything and I've never seen BBA since, it was probably about 2 years ago.