Thanks. My 980.113 does not have the HL. The '5800' is also replaced with '6142'. Other than that its other back markings are the same.
These are my three now (see attached photographs):
980.613B from Simmons Watch Company with the GMT conversion.
980.013 from TAG1000Driver with the green bezel insert, sapphire crystal and oyster bracelet. The Heuer clasp came on the 980.113.
980.113 with a replacement black bezel and movement from TAG1000Driver, Bonito Cinturini 281 rubber strap, original mineral crystal, but the TAGHeuer hands and dial have been swapped out with an earlier Heuer version as the movement that came in it was too small for the large earlier case causing a gap issue. I'm not sure why this came with a Heuer clasp rather than a TAGHeuer one given it had a TAGHeuer dial - I suspect it's been fiddled with a bit over the years...
What I particularly enjoy is that despite essentially being three of the same watch, their particular features make them seem very different - different dial and bezel colours, different bracelet styles or strap, different case dimensions and weights (the later thinner and lighter B is certainly my preferred though), GMT conversion, different dial markings of Heuer/TAGHeuer, '1000' or not, 'Quartz' or not, different clasps on the bracelets, different crystals - mineral or sapphire, domed or flat - to me, these all contributes to a significantly different look and feel from watches that are essentially the same...
This picture shows the gap issue between on the side of the dial on the 113 with it's previous dial, hands and movement combination:
51748192372_fcd76fda3e_b.jpg
The 013 has an unsigned crown (photo attached). Was this a thing on these earlier models, or is this an aftermarket replacement crown?
I found on Google images that some of the earlier Heuer models had a Heuer signed crown:
Heuer-Night-Diver-quartz-Full-Lume-Dial-980.113-37mm-10.jpg
My final move is I'd like to fit a sapphire date magnifier (date bubble or cyclops) to the 013's crystal. Being flat this should be a simple UV glue on job. It'll complete the knock off Rolex look and adds another unique feature to differentiate amongst the three...