Being off the settlement statement removes you from the chain of title, and it does not remove you from a misrepresentation claim. Whoever made the statement owns the statement. That's the structural answer, and how a court treats it turns on your state's law and the facts, so an attorney licensed where you operate is the person who tells you your actual exposure.
What operators typically paper, and what you should look for in any agreement handed to you:
A written agreement with the acquisition wholesaler that says what you're authorized to do. Whether you may quote a price, whether you may extend an inspection period, whether you may sign anything. A dispo person negotiating outside their authority is where the ugly disputes start.
A source-of-information clause. Every property fact you pass on gets attributed, seller-provided, from a prior inspection, from the contracting wholesaler, and you state you haven't verified it. Roof age is the exact example that shows up, so put ages and system details in writing with a source or leave them out.
Buyer acknowledgment in the assignment that they've had the opportunity to inspect and are relying on their own diligence. This is standard, it's also not a shield against an affirmative false statement you made.
An indemnity running between you and the acquisition side, and read which direction it runs. Plenty of templates indemnify the wholesaler against you and say nothing about their bad seller information flowing to you.
On insurance, E and O is generally written around a licensed or professional activity, and an unlicensed non-party is a hard fit. Some operators carry general liability plus a professional liability policy written for consulting or marketing services, and coverage for wholesaling-adjacent work is inconsistent between carriers. Ask a broker to show you the exclusions in writing before you assume anything is covered.
The exposure you didn't name is licensing. Marketing and negotiating a property you don't own can be treated as brokerage in some states, and several have tightened that, which matters here because an unlicensed-activity finding tends to make every other defense worse.
