The Elder Scrolls Online: Tamriel Unlimited

ATTENTION , if you have an imperial edition, it is better to transfer motives to an imperial character, because... he will have already learned the imperial style , which will make it extremely easy to obtain the trophy, because the imperial style is the rarest and most expensive of those required to achieve.

Previously, in the year 15-16, styles were not shared on the account, but this has not been the case for quite some time - since 2018, when the outfit system was introduced, all the motifs that you discovered on your characters began to be included in the trophy, just enough for them Log in so that the system updates the information about styles.
This also means that if you have, for example, an imperial race open, you just need to create a new character of this race, log in to him and the imperial style will automatically open for the entire account.
But keep in mind that a style for the entire account is opened only for the outfit system, and for crafting you will still have to look for/buy motifs for each character separately