Glenn,
I guess anybody that charges you for a service can call themselves a professional.
What bothers me is that the other gears begin to have problems with increasing temperature in the component. Are you getting enough "throwout"? Where along its total travel does the clutch seem to release/engage? If this is normal, it likely is indeed removal time.
Consider the five speed conversion to the Celica/Supra box. We're doing one right now for a customer, and I can tell you the components and instructions are first rate stuff. It also gets you away from the rather delicate nature of the Triumph transmission and the complexity of the overdrive. When installed it uses your original gear lever which sticks out of the original location, so it is not distinguishable from stock.
Let me know what you're finding.
Bill
Motorbill
From Lola to Land Rover, If it's British and has wheels, it's likely I've bloodied me knuckles thereupon