This is VERY INCORRECT!! When water glassing eggs, YOU DO NOT CLEAN THEM FIRST. Cleaning the eggs will remove the bloom that is the only thing protecting the eggs from the lime solution ruining them. I have been water glassing eggs for years and mine have lasted for two years in the solution before. You start with clean eggs that HAVE NOT been washed. I do suggest using filtered, distilled, or spring water, not tap. It is a different method of preserving, where oxygen and water are NOT the enemy here. Yes, you put a lid on your vessel that holds the eggs but that is only to prevent the water from evaporating, not from oxygen getting in. You can reach a clean hand into your vessel at any time and get eggs out, to do that, it cannot be sealedIn food storage, you learn a few things that can help here. And that is that AIR and water convey and are the routes of spoilage. And therefore BACTERIA growth.
You want to curb all routes of bacteria growth and travel. That means, very clean water. And as little air as possible.
So you could sterilize the water before doing water glassing. Although many people will tell you they did just fine with tap water. But other people have just found out... all over the eastern US that their tapwater is heavily contaminated. (This is almost a bigger issue than your original question).
You could and it would be a good idea to clean the eggs. And with rubbing alcohol possibly.
Now it will probably work without the extra steps. But as soon as you study MASON JAR canning, it comes back to the beginning; that air and water can be your enemy in some cases for bacteria growth and that you want them contained in such a way as to work for you. You still need water in there. But you want it on YOUR TERMS! You hold the power. And nothing to chance ideally.
Now I'm sure people will say you don't need extra steps because the water glassing procedure works fine. BUT it can add time to how long you can get the products to last! (People have proven this with mason jar canning. So it should hold some form of similarity in the pattern to water glassing also.)
For these reasons, I would clean the eggs before preserving them. But they'll probably work without cleaning them but I doubt they'd last as long.
We're also at a turning point in this country where we can no longer take food and food safety for granted. Industries and economies are NOT OK. Therefore you want to try to step up and try to make life better on your own terms by your own industry. And your family will appreciate you for this.
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Side note; You can think about how to use oxygen absorbers in your other food storages also. Maybe taping some of them in boxes or containers or whatever. (But not in seed containers.)