Yes essentially. Why, because the leaves and pitchers that formed on the plant prior to being placed in the greenhouse were adapted for whatever environment they grew in. Also the root system forms in conjunction with the leaf growth to sustain it at whatever moisture uptake rate is needed. If the plant is in a less stressful, more humid, lower light, cooler temperature range not as much water uptake is necessary for a healthy plant. When you change the conditions so that more water uptake is necessary to prevent wilting the current root system is not large enough to handle the increased demand. You can keep it as wet as you want but there simply isn't enough root mass there to meet the demand. Which is why it takes MONTHS to adapt. New leaves will handle the harsher environment better which will reduce transpiration loss. New roots will grow to meet the increased demand for water uptake. etc etc etc...
If the pitchers are dry inside you can add some water to help the plant with an extra source of moisture. If all you are seeing is a little pitcher wilting during the day then I wouldn't be too concerned. By the time the plant makes new pitchers they will be ready to handle the new environment. If you start to see leaf wilting then it's more serious.