Having an ELI5 is a totally fair request, and I'll do my best; I've had a couple of requests for this already so please pardon me if I take it from the top:

We use encryption to send messages privately from a web-browser (like firefox) to a web-server (like apache) which is running on a computer somewhere in the world; to get this privacy we lock the messages in an "envelope" of encryption, which means that nobody can read the messages unless they have the magic "keys" that are needed to open the envelope. 

The problem is: many years ago someone worked out that it's a lot cheaper to have a bunch of web-servers (eg: apache) for websites, on a single computer, and when you have that situation there's a problem: which of the dozens of web-servers is the one which is meant to receive the encrypted message? 

You can't reasonably give the same envelope to all of them and see if it works for one; that would be wasteful; so somebody came up with the idea of writing the name of the server (providing a Server Name Indication, or SNI) in cleartext on the front of the envelope.

SNI meant that if there were web servers for Alice.COM, and Bob.ORG on the same machine, then the envelope could be delivered to the machine's address (123 West Street, Boston) and handed directly to Alice or Bob by the machine, for them to decrypt.

Some clever people worked out that they could use this system to get a kind of privacy: if Alice actually *owns* the house, and if Bob is wanted by the police, then people who wanted to mail Bob could write "Alice.COM" in cleartext on the outside of the envelope, and they could encrypt the message *for* Alice, but when the message begins with "Dear Bob,..." then Alice would heave a sigh and hand the message over to Bob to be read.  Alice would be acting as a "front" for Bob, and hence "Domain Fronting". The problem with this process is that it stresses Alice and gets stressy, it means that the police can say that Alice is complicit in crime, and also it's less efficient - Alice has to sort through HER mailbox and use HER keys on behalf of Bob. This is bad for Alice.

But also: taking a step back, there's the whole problem of writing names in cleartext on envelopes.  Every person in the world who is not in an Alice/Bob kind of relationship, but who wants to use HTTPS, ends up doing the same write-in-cleartext thing to ALL their traffic.  

This means that Victoria wants to write a message to PlannedParenthood.COM and has to write the PP.com SNI on the front of *her* envelopes, too; and Victoria's ISP (who is generically against abortion) can just trash those messages entirely ("website not reachable") or can attack them with some sort of man-in-the-middleware.

Ergo: nowadays some clever people at Mozilla, Apple, Cloudflare, etc, have worked out a way that the envelopes still get addressed in cleartext (123 West Street, Boston) but the SNI (Alice.COM, Bob.ORG, PP.COM) is encrypted.  

Encrypted SNI means that ISPs cannot editorialise traffic to PP.COM, that Alice no longer has to "front" for Bob and suffer both complexity and moral complicity, and that overall the messages which are passed back and forth to/from all of the above are a LOT less fingerprintable.  You might say, "almost anonymous", and that "anonymity loves company". :-)

However, as you'll guess, the security services of the world have been profiting from SNI and from other "features" of older forms of HTTPS, and the idea of losing all this bountiful metadata is painful to them; hence they are fighting tooth-and-nail against the new TLS1.3 - which is so-far largely unfingerprintable / close to anonymous / unmolested by spooks:

    https://www.theregister.co.uk/2018/03/23/tls_1_3_approved_ietf/

...and they are looking for division which can be leveraged into "See, even the supposed 'Good Guys' want to keep SNI!".

So, in short: by pursuing Domain Fronting rather than burning it and pursuing Encrypted SNI, we risk advancing the arguments of spooks, and also retarding the adoption of protocols which will provide us all with greater, more secure, more end-to-end (not even Alice-having-to-front-for-...) communication 
 
How does that work?

    -a