If we were to associate domains with geography, Rapha would be based in the Cocos Islands, Tuvalu would be the broadcast equivalent of Hollywood, and so on.
Domains are associated with geography, whether you like it or not. .com domains genuinely are managed from the USA, .tv ones generate a significant part of the national income of Tuvalu, and so on. Reading them is pretty easy because, like various other parts of the Internet*, they are based on the real world. We all know that postal addresses divide up the world into ever-smaller sections, working backwards from the end and that, in nearly all cases, a different body will be in charge at each level; domain just means the part that a body is in charge of:
13 (The bit of the world where I am in charge, if this is the number of my house)
High Street (the local council)
Summertown (ditto in this case)
Countyshire (the County Council)
United Kingdom (Parliament/the national government)
Internet domains work the same way:
mail.eps.leeds.ac.uk or
www.eps.leeds.ac.uk (specific individual server addresses within EPS's domain)
eps.leeds.ac.uk (the engineering & physical sciences [EPS] department of Leeds University)
.leeds.ac.uk (Leeds University)
.ac.uk (Nominet)
.uk (In this case Nominet as well - in some countries it would be a different organisation at this level)
. (the top-level domain run by ICANN)
In the real world, number 13 High Street might be further subdivided (into flats) before you got down to an actual address where people resided. Or number 13 might represent a cluster of buildings, and so could be divided first into buildings and then into flats. In the Internet, you can similarly keep dividing before you reach a point at which a service exists. But the division is always little endian in the real world, and so it is also in the Internet. It no more makes sense to claim that ourcompany.uk.com is a .uk address with .com after it than it does to write an address ... 13 High Street, United Kingdom, Birmingham.
* For example, email uses a multi-hop system not unlike real mail, in which batches of mail are passed from place to place, getting ever nearer to their destinations, until finally they are delivered quite locally. And often using POP, the Post Office Protocol
What's more, email uses envelopes, which is one of the reasons why the To: address does not actually determine where the message is delivered. In the same way, the addressee at the top of a paper letter does not determine where it goes, because the letter is inside an envelope with an address that might be quite different.