Here's a study from 2014, linked in the paper, where they edited out the ability to sense CO2; the Aedes aegypti mosquitoes could still home in on people: https://www.cell.com/cell/fulltext/S0092-8674(14)00155-X
Most mosquito capture devices are just CO2 + heat; some are CO2 + heat + odor. I haven't seen one so far that just combines heat + odor, although maybe there's something out there.
Different species of mosquito are attracted to different chemicals, which helps explain why some people get targeted a lot and others not so much. Here's a random fact I just learned from another of the linked studies: Ae. aegypti are attracted to ammonia. I guess the variability helps complicate making a general-purpose machine that will work anywhere.
Also, some species prefer humans over other animals... I think they can still get confused, though. For instance, when I'm hanging out with my black cat, the mosquitoes all gravitate to him. The study suggests that mosquito sensory cues diminish with distance (duh, I guess), but perhaps some cues become predominant as the mosquitoes get closer. I've wondered if wearing patches of black fur on my forearms might help attract them to a specific location; haven't found any product that does that, either.
One more random observation from the study: they're using a pretty neat little membrane feeder full of blood to test the mosquitoes. I'd heard of past studies where human lab assistants just stuck in an arm to be fed on. I guess it's lucky for the assistants that they've advanced past that, but I'd also read that they acclimate fairly quickly. I wonder: would anyone be up for intentionally exposing themselves like that? I've been getting bitten by the same species for a year and still have skin reactions; personally, I think if someone offered me a few days of suffering to gain a resistance, I'd go for it!