We have all our weeks in the names of our trust (50% ownership to my trust, 505 to husband's). We paid to have them retitled in the trust names after (stupidly) titling them in our names originally. My advice is to do it correct in the names of your trusts from the outset.
Yes, the account will have the last name of "Trust" but it has no effect at all.
The reason to do this is it avoids probate, but more importantly if you own weeks, not points, it avoids probate in the state in which you "own real estate". That is, you may live in Montana, but if you own weeks in Hawaii, and if the weeks are in your name (not in the name of your trusts), you have to go through probate in Hawaii. That is going to involve an big hassle and perhaps paying for someone to deal with this for you. So just do it right to begin with.