Isn't what ?No it isn't!
Isn't fair ? Isn't logical ? Isn't "more modern"* ? Doesn't have something more modern* that does the same thing as a fuse** but in a resettable manner ?
* Yes, I know MCBs have been around for a very long time, but for most people fuses are "old fashioned", MCBs are "more modern".
** While there are difference in protection curves, the principal function of an MCB is the same as that of a fuse - disconnect the circuit under conditions of fault or overload.
So I think you'll find that to the average householder, the CU is the same as a fuse box, but with these convenient resettable switches instead of the inconvenient one-shot rewireable (or sometimes, cartridge) fuses. I suspect that if you ask most people where their "fuse box" is then they'll point you at the CU, and them where their CU or Consumer Unit is then a lot will give you a blank look until you mention fuse box or distribution board.
"fuse box" is also easier to say than consumer unit, as well as better conveying it's function.