Hi Jean, I am of the opinion(As in I agree with you) that most though probably not all of the Titanic's usable boats were later installed onboard the Olympic. The problem is that there is not a smidgen of first hand evidence available to either support or refute that opinion. None that has seen daylight in nearly ninety years anyway. If you have or can find records to support this, it would be quite a find!
The additional boats installed on the Olympic initially were 40 Berthon collapsibles which came from the Royal Navy dockyard. 16 of them were later landed when it was realized that they were more then was needed. This sparked rumours that these boats were in poor condition and that was what led to the stokehold crew bolting the ship en masse. The gory details of this unhappy episode can be found in Simon Mills "RMS Olympic, The Old Reliable" on pages 27-28. On pages 29-30 of the same book, you can find details of the refit accomplished where among other things, the lifeboat arrangements were upgraded to a total number of 32 boats with a capacity of 3,510.
As there was a shortage of boats at the time due to the sudden damand for same, they had to make due with ten Berthon and six Henderson collapsibles until the permanent lifeboats could be aquired. Frankly, I wouldn't be surprised if some of the Titanic's boats made it to other ships.
Cordially,
Michael H. Standart