I need to wipe and rebuild my Macbook Pro Retina's hard drive (OS X Yosemite, if it matters) and am planning on using Setup Assistant to restore all my data from my Time Machine backup. Question: once I do this, will my existing Time Machine history be preserved, so that I can, say, go and find a file's version as of two months ago? Or, is there a way of accessing my old Time Machine data through the Time Machine interface (so I don't have to burrow through all the hidden Time Machine files)?
(This question was previously asked as "Clean Lion install, keeping Time Machine history?", but the fundamental question of Time Machine History was never answered.)