There aren't enough slots in the INTEGRA to accommodate all the Studio Sets anyway.
Cursor to the SN Synth tab on the import page instead, mark the presets you'd like to import and specify a start-point (patch number in your SN User bank - there are 512 slots available). The marked patches will then be copied to your User bank sequentially, filling the slots from the patch number you specified upwards.
For example, if you import the entire Synth Legends Pure bank, specifying that you'd like to start at patch number 20, the 128 presets will populate your User bank from slot 20 upwards, meaning that patch 01 will be placed in slot 20, all the way up to slot 147, which will contain patch 128 from the Synth Legends Pure bank on the flash drive.
If you import all the Axial patches this way, there won't be much room left for your own (User) creations, so you might have to decide which ones you can live without. Personally, I'm probably going to sacrifice the Synth Legends bank (with effects applied to each preset), otherwise the SN Pure (No FX) + the one with FX will take up 256 slots, which is half the space you have. The FX bank is made from the same presets as the Pure bank anyway, but with FX applied.
Further to this, there is a number of Axial banks which comprise selections from the aforementioned SN bank; they're used to make Studio Sets of various flavours, mostly involving layering of these sounds on top of each other. The key here is to look and see if they're labelled as "Powered by Synth Legends". If so, there's nothing new in them patch-wise.
I listed all the "non-powered", non duplicate-containing banks in this thread on page 1 to make things easier for folks as it can take a while to figure this stuff out. Here it is:
viewtopic.php?f=54&t=50335
Trust my list and save yourself a bunch of time and head-scratching.