Hi Intrepid Traveller
I assume you mean the Titanic exhibition in Belfast? (There are also excellent ones at Liverpool Maritime Museum and Sea City in Southampton)
JY actually did do a tour which included this - it was 'A Tale of Two Cities - Dublin and Belfast' and I went on it in 2012 but they rested it shortly afterwards and I don't think it has ever been re-instated.
If it is Belfast that you are visiting, and speaking as a bit of a Titanic buff, I would recommend that if you have some free time, take a 15 minute taxi ride to the Ulster Folk and Transport Museum just outside the city (tell the driver you want the Transport section because it's a huge site). The UFTM has many more original Titanic artefacts than the Titanic 'Visitor Experience', including all of the Harland & Wolff archive.
It's also worth noting, if your tour guide doesn't take you, that about ten minutes on foot from the modern silver Titanic building, are the old Harland and Wolff offices which have recently been turned into a hotel and the original Thompson Graving Dock where Titanic and her sister ships were dry docked for maintenance. It's run by a separate organisation so the people at the Titanic Experience often don't mention it, but it's well worth a look and quite impressive to stand on the floor of the dock, which gives you a real impression of the size of the Olympic Class liners, if you don't mind climbing a few steps! Also really worth visiting is the very last ship of the White Star line - Titanic's French tender - S.S Nomadic, which is on display in the Hamilton Dock opposite the Visitor Experience.
Have a super time - happy to help if you have any other Belfast questions
All the best
Mandy