I dont have any 'inside info' regarding supercharged Lotus', but I'm sure Toyota / Lotus / Eaton / Harrop have huge data files of it. In particular Lotus have a long experience with forced induction drivetrains for their own cars & Engineering clients. Without their hard data, its easier just to view actions of the OEMs.
As confirmed in the video, Harrop originally engineered TVS 1320 to fit the 2GRFE at the request of Toyota Australia, to offer a response to fast Holdens & Fords in the local market. Keeping it simple & economic, there was no inter cooling, the SC was small enough to fit under the standard bonnet, large enough to give a modest 5.5 psi boost pressure. For a sporty Toyota, which was unlikely to incur sustained heavy use, it was fit for purpose.
Like all manufacturers Lotus Cars do enough to meet their product goals, not more. Otherwise its Engineering spend that Sales & Marketing can't recover. So Lotus used the Harrop 1320, unchanged from the original Toyota set-up. For Lotus too, it was a quick fix, fit for purpose.
The Aisin transmissions that Lotus use with the 2GR-FE are rated to 400 NM / 295 lb ft, spookily thats what an Evora S / Exige S with the Harrop 1320 archives. The latest '430' powered cars have torque limited to 440 NM (450 NM Auto) even with the transmission internally uprated & externally cooled to cope. Only when fitted with Xtrac sequential transmission, is torque allow to achieve 525 NM, factory built.
If Lotus Cars felt the TVS 1320 could achieve greater power goals, why would they add another supplier (Edelbrock), use their larger TVS 1650, housed in a new casting & add the complexity / weight / cost of charge cooling ? Add to these costs the global re-certification of the drivetrain. If Harrop felt the TVS 1320 could achieve greater power goals, why would they develop two Lotus dedicated TVS 1900 offers, with / without charge cooling ? Adding intercooler sandwich plate and using a smaller pulley to the TVS 1320 would have been much easier, but they didn't for a reason.
Looking at other supercharger applications beyond the 2GR-FE, a 1320 sized SC is small for a 3.5 litre engine. The main Eaton web site does give data on the thermal efficiency on their different sized SCs and boost levels.
My take from all this ? If you dont own the latest TVS 1650 factory built car, the TVS 1320 has limited headroom, the TVS 1900 - ideally CC, is the way to go. However there with be knock-on effects - the integrated manifold/cats & the standard transmission won't take the higher boost for long, so you'll need to budget for this too. Also power = heat, so additional cooling will be a factor.