BSA were commercial contractors to the MoS and Enfield were a Govt factory wholly owned and operated by the MoS for the Govt. So export contracts would be for the Govt. on a Govt to Govt basis. The L1A1's were all made under tight and strict conditions set out by FN. Our rifles were sold at crippling prices and other Govt buyers soon discovered that it was FAR, far cheaper to buy from the more friendly and easier-to-do-business-with Lithgow.
The archive records from Enfield are held at the old Royal Ordnance/BAe historical centre at Glascoed. Maybe you could ask.... I forget his name now but I'm sure a letter would get there.
What Govt's do you think the UKGovt sold L1A1's to?