Hi,
Mmmm ... if the SA army

did prioritise off-road performance, there are two "standard" possibilities:-
. The bike has specifically a wide-ratio gearbox. I've haven't ridden one so no first-hand experience but I'm told they're characterised by a noticeably-wide "jump" between 2nd and 3rd - the engine has to be revved quite high in 2nd or it bogs down when changed up to 3rd?
. The bike has high final-drive gearing - 18-tooth gearbox and 46-tooth rear wheel sprockets. My T100 has always had a 19-tooth gearbox sprocket; however, both
@Shippy Terry and
@BrianG have posted in the past 43-tooth rear works well so I've lashed out on same for mine (however, downside of having a QD rear wheel is the sprocket's part of the brake drum ...

).
The Owner's Manuals say 3/4" off the centrestand and 1-3/4" on. In practice, I've found that too slack.
Renold say a roller chain should have free play equal to its pitch at its tightest point.
The tightest point in the final-drive chain on a Triumph (most bikes) is when the centres of the gearbox sprocket, swinging arm pivot and rear wheel spindle are in a line. For clarity, I don't mean the primary drive has to be stripped to see the gearbox sprocket; the clutch adjuster plug is over the end of the gearbox mainshaft, which is concentric with the centre of the gearbox sprocket.
Standard chain is 5/8" x 3/8" so the minimum free play when the three centres are in line is 5/8". Having set that, I put the bike on its centrestand and measure the free play again, simply because checking it with the bike on the centrestand is more convenient. Again for clarity, having done this once, the "on the centrestand" measurement won't change unless you fit a different engine.
However, having set the 5/8" free play, when checking the "on the centrestand" measurement, note you won't necessarily see the Owner's Manuals 1-3/4", simply because not every bike has exactly the same relationship between engine (gearbox sprocket centre) and frame (swinging arm pivot centre); I found this true of Japanese bikes also.
Aside, for years, I went just by the manual "on the centrestand" measurement for both my T160's; nevertheless, one always needed the chain adjusting more often than the other?

However, when I went through the above procedure, I established the "on the centrestand" measurement for that T160 was slightly smaller than the other one and the manual measurement; i.e. for the same years, I'd been setting that one incorrectly, 😖 which is why it needed the chain adjusting more often than the other one.
Fwiw, when checking chain slack, I've always just used a normal steel ruler against a fixed point near the chain - ruler under the chain, note ruler against fixed point, push chain upwards with ruler, note ruler against fixed point again; if the difference is more than 1-3/4" (or whatever's established correct for the bike), adjust chain 'til correct for the bike.
Hth.
Regards,