No specific language is required. One concern is that IRA owners be able to identify the source of their IRAs so that they keep inherited IRA funds separate from their own personal IRAs. Another concern is ensuring that the inherited IRA trustee to trustee transfer is recognized (and nontaxable). Per the IRS:
"However, the beneficiary can make a trustee-to-trustee transfer as long as the IRA into which amounts are being moved is set up and maintained in the name of the deceased IRA owner for the benefit of the beneficiary." (The source of this isn't Notice 2007-7, which dealt only with transfers from qualified plans to IRAs, but Rev Rev 78-406 and several subsequent private letter rulings which held that IRA to IRA transfers, including inherited IRAs, are not distributions or rollovers.)
Your broker's language doesn't even make literal sense, as it seems to have a word missing (presumably "beneficiary") before "of." As Bird suggests, the language is unlikely to invalidate the transfer, as the prior owner is identified, and you have no control over the new broker's titling protocol (if you have anything in writing from them, keep it.) But clearly it would be "better" if they added the word "beneficiary."
One other point. You shouldn't get a 1099R from your current broker for this transaction. IRA to IRA transfers generally aren't reportable events if you're not getting any cash. And they aren't reportable by the new broker on Form 5498 either. So the only reportable event will likely be a 1099R when you take the money out of the inherited IRA, and by then maybe your new broker will have fixed its titling problem.
Curious about why you "really need" to consolidate this IRA with the new broker...