Yes, cars intended for continental European delivery had different configurations to meet the laws in effect where they'd be sent. A BJ7 with twin side lamps was almost certainly originally exported to Europe.
Speaking of which, I recently visited Beverly Hills Car Club (a car dealer, not a club) while in southern California for Conclave, and they had a two-seat tri-carb (the rarest production Big Healey with just 355 made) with twin glass side lamps up front! It must have originally been exported to Germany. How many of those could there be? A half-dozen? Last one remaining?
Priced at $29,000 and some, two things made me decline to pursue a purchase. First, it had a Ford engine, and second it had a VIN plate from a BT7. The body number plate appeared to be the original. If it was, the original true VIN could be determined. However, between the need to source and prepare and install an original engine with all the ancillaries and undoing all the other engine compartment mods, and the potentially large headache of getting the chassis number reassigned and the title changed to match (if it could be done at all short of an Act of Congress), it was just too much.
It's a shame though as it is such a rare car. Perhaps someone reading this is looking for an "ambitious project" and wouldn't mind going to the trouble to bring this ultra-rare Healey back to service?