>> "How does TFS play with load balancers?"
You can put it behind load balancers (see TFS article, HTTPS: https://wyday.com/limelm/help/turbofloat-server/#config-https ). However, TFS instances cannot be load balanced. Put it on a smallish server (32GB) and you can serve billions of leases per minute (presuming you don't have a bunch of other junk on the server).
>> "Do we need sticky sessions?"
I don't know what that particular jargon means. Details of what you're trying to accomplish are needed.
>> "Any other requirements?"
Yes, see: https://wyday.com/limelm/help/using-turbofloat/#requirements