I had Hemigraphis in dry houses (heat pump) in OH for years, the same plant. It made tiny white flowers in the winter. It lived through moving to AL but finally died when I forgot to water it. So although I disagree that high humidity is necessary for this plant, I might suggest a terrarium or cloché. Less effort, mess, IMVHO.
This pic is from April '04, so would have been after being inside for about 6 months.
Been missing it so much, I got this one recently. They are 'happy' little things!
Generally, any indoor plants will help produce oxygen. As long as the roots don't rot from being too soggy too often, if 'they' are selling it in a pot, it should be quite happy at your house. Those that dry often, grow quickly, have lots of leaf surface area, have the fastest metabolisms, like heart-leaf Philodendron, Plectranthus, Cordyline fruticosa (Ti plant,) think thirsty, tropical jungle plants, opportunistic growers that know no seasons and actively grow whenever it's warm enough and they aren't too wet or dry, and the light is within acceptable range. It's not possible to keep every leaf alive forever, snip the ugly ones and appreciate the good ones (assuming plants are growing new leaves at least as fast as they are being lost. That's not bad for being taken (originally, not saying the house plants we buy are likely to be collected 'from the wild') from a tropical place and put in a pot, in a cold, dry house, with the seemingly insurmountable obstacle of shorter days.)
Is that where the plant not doing as well always sits? I would investigate the difference in light first (compared to the others that look better.)