If it is Ichthylobodo necator or costia using its other name then you'll need to get a scpe done , do you have your own microscope , if not ask the koi people to come with theur own but it would be a good idea to get your own at a future date .
I've done a thread about taking your own scrape on the forum for koi if you are interested plus theres a good one by
@Mmathis you can read :-
https://www.gardenpondforum.com/threads/microscopes-and-scrapes.11108/
https://www.gardenpondforum.com/threads/microscopes.11894/
Ich is an external parasite active from 2c up to 29c or as you colonials like to say 36f to 84c and can survive in both its free swimming stage and on the host .
On a scrape it looks like a misshapen circle with a double tail and in is free swimming stage it will come up as a vigorously moving spot .
If spoted early costia can easily be eadicated but oon younger koi it can develope very quickly and result in heavy losses it normally becomes a problem due to enviromental factors such as poor system maintenance , poor water quality and last but not least changes in temperature which I believe has come about due to you keeping your waterfalls running thus superchilling the pond .
A general off the shelf parasite treatment should be employed or use Malachite and formalin but because of the temperature I doubt this is going to be possble if your pond has gone bellow 11c .
Should this be the case salt can be used and is generally good for costia at all temperatures and can be added at adose rate of ),25-0,5oz per gallon, if you dont have medicated salt it shouldnt be a problem use cooking salt from the supermarket , its cheaper to buy and works out at around about 75p per three Kilo's , I keep a tub of about 20 kilograms of cooking salt ready for use in the pond or our QT unit when we have sick or new koi in for a period of QTing which should nmally last 8 weeks before your koi goes into the main pond.
Keep us posted on the results of the scrape your koi dealership should do for you before deciding on what treatment to use .
Koi pox is the least of your worries if it is then as soon as your pond goes up in temperature again above that of 19c in the spring early summer it will disappear completely .
For your interest weve also posted a thread on koi and fish health books that Val and I have in our Library your more than welcome to looking at it and taking a few titles Authors and those all important ISBN numbers from it so that you can buy your own books and put your own library together :-
https://www.gardenpondforum.com/threads/our-fish-koi-health-library-with-reviews-of-each-book.10498/
I hope this helps you weve been koi keeping some 27 years now and will hopefully be doing it in another 20 years or so .
Dave