Connecting up with others for motivation and support is absolutely allowed! Just sparkmail each other your email addresses, don't post them in a public thread! :)
Walking in a lazy river? I don't know if it's studied anywhere.
With the current you're doing less work than walking normally. You're supporting far less body weight, and the current is pulling you along so your distance covered isn't entirely from your own body pushing. So I would probably estimate tracking that at about 50% of what you'd get from walking on land.
If you can walk against the current (some pools disallow it) that is a different story. You're still supporting much less body weight, but now you have to fight against the current to cover the distance. The two factors probably roughly cancel, so I'd track that as 100% of normal walking on land.