Oh, my turn?
I'm not convinced that the 2000 is any more "gutless" than its contemporaries, such as a Volvo 122 or early 144, or a Rover 2000. It is what it is: a 90 hp, very smooth six-cylinder engine pushing around a car that weighs 2600 lbs. or so. The interiors are very comfortable, although the dashboard and controls might not be to everyone's taste. (Same with exterior styling.)
Like almost anything else, and especially since it is a unibody car, rust is a critical factor...and most all body and trim bits are not going to be readily available in the US.
Mechanically, the car is a typical blend of bits from other cars: pretty much a TR4A-6 type of rear suspension, TR4 style gearbox with GT6-style input shaft and clutch, and essentially the early GT6 engine. It does not take an awful lot of work to drop a TR6 engine in to cure the "gutlessness"!
The NADA Guide quotes low/average/high retail values as $2,600/$4,275/$6,525, respectively. I'm not sure where they get these numbers; frankly, one would be hard-pressed to find one worth anywhere near the upper range quoted unless it is virtually as-new and nearly perfect. Most of the few I've seen for sale in recent years do NOT fall into the "nearly perfect" category.
Only about 1800 of these were ever sold officially in the US. Frankly, they were a bit too expensive in the US, especially as the average car-buying public didn't see any great advantage to one of these over a decently equipped Falcon, Valiant or Nova that probably sold for a good bit less or a Fairlane, Chevelle, Cutlass, etc. for about the same price. It actually took quite awhile to sell off the last of these in dealer/distributor stock, some of that accomplished by dolling them up with vinyl roofs, wood steering wheels, Air-Flow wheel covers and other parts book decor and offering them as "SEm (Special Edition)" cars:
Bottom line: Don't pay a lot, but don't worry too much about problems (so much of that being more urban legend than fact). It won't be any worse than any other Triumph or other car if it's properly maintained. You can easily take the whole family to car shows, where you're likely NOT to see many other cars like yours (except up around Portland, OR, where these apparently sold well and are still popular)!