Don't go on a chase for some elusive "culprit" that will likely never turn up. You can do all of the testing in the world and the chances of determining any exact and fixable cause are slim to nothing in my opinion.
Well, this is good advice on one level, but rather than trying fix something , the better way at looking at this is to grow the plant effectively, then you no longer have to do detailed studies on every species of algae that appears.
Healthy stable growing plants= no algae.
Generally , hair algae appears when CO2 declines or is sub optimal.
This can occur for just part of the day, say the first 0-3 hours when the lights are on, or perhaps all day. If you do not dose much and have high plant biomass then the Hair algae can also appear.
Generally, just adding a little more CO2 resolves the issue for most folks along with some pruning and manual removal. Excel in not particularly useful against some species of Hair algae.
You can try the 3 day blackout and do large daily water changes, when the tank is drained, you can mix some excel in a spray bottle and mist the infected areas(10: 1 solution) and then refill tank after a couple of minutes.
Do this for 3 days, then restart the tank, make sure the CO2 is good and dose routinely/water changes etc.
You need to focus on plant health, not killing algae.
Regards,
Tom Barr