For many years, the ones that grew and eventually died at my balcony - I attributed the reason to the fact that N. adnata is found at altitudes of 600-1200m...so cool conditions must be preferred since the demise is ALWAYS during the hot season (May-August).
I thought of giving up on this species but for the past eight months the two plants I have are thriving. They are now in the vining stage and both have produced two basals each (can't wait for them to flower!). Interestingly, they grow in hot, very humid conditions and receive natural light.
The humidity inside the box is above 90%RH and the highest temperature recorded is 38C. Night temperature is not significantly cool as well - averages around 27C. The media used is LFS and perlite. I mist the live sphagnum moss every other day and water the plants only once or twice a week. Conclusively, this species is able to produce vigorous growth and pitchers in conditions that is much hotter than expected. Its tolerance for poorer ventilation also seem to be quite high, making it a good candidate for terrariums.
Words of caution though...
1. N. adnata grown in the above conditions may not reach its full potential i.e. lower pitcher up to 12cm tall and 3cm wide since it is from cooler climate after all.
2. Please don't rush out and buy yourself a transparent bread box for high-humidity-loving species. Seriously, see that empty space in the box without the LSM? The veitchii (Bareo) used to be there. It died from root rot just last week and it is very likely to be due to overly-humid conditions.