Nice! The flowers only last 1 day on any kind of Tradescantia, from the ground cover/house plant kinds to spiderworts. I think that may be true for all of the plants in the Commelinaceae family, but not something I've investigated. I do collect plants from this family, but will never even see all of them in person.
Purple queen & purple heart are common names, not cultivars, AFAIK. 'Purpurea' is a synonym, not a cultivar. I've never seen 3 diff plants either, in person or pics. Not sure why there's 3 diff entries in the DB, and doubt they are 3 diff plants.
(Never heard this referred to as spider lily anywhere else but this 1 entry)
Purple Heart (Tradescantia pallida 'Purpurea')
I put my pics here because it was the entry with pics & info:
This is probably all that's needed. Pics from the above entry should probably be here:
Purple Heart (Tradescantia pallida)
The variegated one is definitely different. Never seen 'Purewell Giant' or 'Kartuz Giant' but couldn't find any info about a patent for cultivars by those names. 'Blue Sue' looks like a plain green version, that could be valid. The plant pictured for the 'Pale Puma' entry looks like T. cerinthoides to me. Not many pics of that "out there" but the 1 other pic on site that might be considered reliable, Plants Delight, also looks like T. cerinthoides. (That's one of 2 plants Exotic Angel has sold the past few yrs with labels that say T. zebrina 'Red Hill.') What a confused plant! There is no cultivar by that name, 'Red Hill.' I'm not sure everyone writing plant tags at growers & botanical gardens understands the meaning of the punctuation & what constitutes a cultivar vs. just a common name (a nickname.)