Root is having his battles trying to hold England together in Australia.
Williamson's past six test innings, spread over two seasons, have made 2, 1, 176, 1, 43 and 54, a mixed bag.
New Zealand's shortage of test opportunities hurts Williamson and until the newly rejigged test timetable is revealed, possibly in February, the picture for the immediate future won't become any clearer.
Williamson is confident New Zealand will have more test opportunities coming, as is New Zealand Cricket's chief executive, David White. Leaks out of the International Cricket Council - erroneously White has insisted - painting a bleak test future for New Zealand, haven't helped.
Back to Smith, whose 22nd test hundred in Perth came in his 59th test. Only Bradman, in 38 tests, has done it quicker for Australia.
It is Smith's 14th century as captain in his 29th test in charge. It took Bradman 24 tests to that mark.
One point about the Waca, without decrying Smith's achievement, is that in it is a road for batsmen. Six batsmen made hundreds there two years ago, including Ross Taylor's 290 and Williamson's 166 - and Smith.
The search for the "next" Bradman has haunted decades of Australian rising stars. None, statistically, could, or could be expected, to live up to the Don, who was so much more than a run machine in Depression-era Australia, a figure of inspiration and hope in desperate times for a start.
Comparisons between the four? Kohli is, at 29, the oldest; Root, who turns 27 on December 30, the youngest.
All damage bowling attacks in different ways. Expect the other three to view Smith's progress as a challenge.