I can only speak to the bridge pickup. I got the 30th anniversary L4 (HSS) and the recent Sabre BRF (HH). Only the bridge pickup on the Sabre is HT. But both have the black limba body wood, with maple necks (however the Sabre is maple fretboard, L4 is ebony). The Sabre has much thicker maple top, L4 maple top can be ignored as it is thin veneer.
Anyway, with this out of the door: the bridge pickups on these two sound similar, but not identical:
- the overall volume (signal strength is similar/identical)
- overall these pickpus are similar, they are certainly closely related (I don't know if they are the same or not)
- high frequency character sounds similar
- low frequencies sound similar
- pick attack/headroom sounds identical
- the Sabre has a little more upper mid emphasis, and one would call it brighter. While it is not night and day difference, it is pronounced and absolutely noticeable immediately. You would not mistake it blindfolded.
- the L4 is more restrained, flatter with so slightly pushed low-mid/mid frequencies. I would say it sounds more polite, more restrained. Again, while it is not a huge difference you will know which one is which blindfolded 10 times out of 10.
So I don't know if these two pickups are the same - could be, but I would say they are minimally of the same family and not a huge distance apart from each other.