No one knows for sure why cyano precipitates and mats up, but there are two scenarios when it' usually occurs , one more likely than the other.
Low to No NO3 with PO4 present. This is the most likely scenario and since we run new tanks with much lower NO3 and PO4 than with new tanks to hold off nuisance algae. Cyano is more resourceful than corals and so when NO3 is very low or non existent, the cyano can get nitrogen for other sources and synthesize it with PO4. This is also common when one begins carbon dosing and bacteria deplete NO3 faster than PO4. Often they will run GFO when initially carbon dosing to reduce PO4. If NO3 is very low, feed more (for NO4 dose), that should reduce PO4 and the coral use up both.
High NO3 and PO4. macro algae, more corals, less feeding. Nutrients are being added faster than the uptake.
Regardless of how you will deal with this, syphon it out as much as possible. If you kill it, it will only release it's NO3 and PO4 back into the tank. If you blow it off the rocks and sand, IMO, it will only spread.
Cyano can disappear (well its ever present in the water column so lets say it reduces an goes back to it's floating form) on it's own, and many reefers that it comes and goes without any changes or treatments. New tanks will likely need fixes.
Since you clean your tank a lot, let's start buy ruling out that your tank may be too clean
What are your NO3 and PO4 levels and what test kit do you use?