This will make sense more than the other zooms outside of the 10-24 as it provides a range inaccessible by other zooms or primes.
A kit like 10-24 F4(or 14 F2.8), 16 F1.4, 23 F1.4, 35 F1.4, 56 F1.2 (or 60 F2.4), 90 F2 and 100-400 F4.5-5.6 will cover an impressive range with good to excellent quality and great light gathering capability. It wouldn't be that heavy either.
PS. as it happens I have all the above lenses outside of 100-400