Istari and their staves

[Inziladun]

One thing that I find curious is that upon the arrival of the Istari in Middle-earth, staves were not apparently seen carried by all of them by the Elves at the Havens.

The first to come was of noble mien and bearing, with raven hair, and a fair voice, and he was clad in white; great skill he had in works of hand, and he was regarded by well-nigh all, even by the Eldar, as the head of the Order. Others there were also: two clad in sea-blue, and one in earthen brown; and last came one who seemed the least, less tall than the others, and in looks more aged, grey-haired and grey-clad, and leaning on a staff.

UT The Istari (emphasis mine)

If all of them had staves when the disembarked, why was Gandalf's possession of one noteworthy? And if only Gandalf brought his from the Undying Lands, perhaps that was symbolic of the fact that he was, ultimately, the greatest among them, as discerned by Círdan.

But Cirdan from their first meeting at the Grey Havens divined in [Gandalf] the greatest spirit and the wisest...

UT The Istari

Also, the only occasion in which we "see" Radagast personally in the story, when Gandalf describes their meeting on the Greenway to the Council of Elrond, he is not described as having a staff.

I'm not saying any of this is definitive, but I do wonder why it seems that the staff was mainly associated with Gandalf, and not to the Istari as a whole, at least not initially.