No evidence yet, but I'm doing it now. Started all 8 plants on Friday. But what about the evidence that a seedling heat mat helps seedlings? There is some evidence. I'm taking that a bit further though and will do it up to at least day 20 so well in to grow. Once I turn on the autopots, then that's a different story.
I do run inlines in and exhaust. 4 inch in, 8 inch out. The garage is cold inside in the winter and the inline fan brings in cooler air to the tent. I have speed controllers on both fans. Not thermostats. I adjust them manually but more to control humidity. If in growth mode I like to dial in VPD to the sweet spot which I do by adjusting the humidifier output and by how fast the exhaust pulls that out. It's a totally observe and react kind of thing I do.
I would presume optimal temperature is way way more important, critical, than optimal humidity. Also, it makes much more sense to have both temp. and humidity under actual/full control. Why not run the exhaust/intake ventilation by air temp. (thermostat) and then set/adjust your humidity (with the humidifier similarly kept at a set value by sensor feedback)? Currently, you have adjustable/controlled humidity but problems with temp.
With your problem being temperature, doesn't a thermostat make sense? You'd retain more heat (and humidity), if your exhaust ran on a thermostat, was not constantly pumping out heat from the lights. Also, you currently lose any CO2 benefits from your in-tent oil heater if you just endlessly exhaust air (and obviously too much air, since you have temp. issues). Also, with intermittent vs. constant air exhaust/intake, your humidifier would run less.
I use a Lux WIN1000, with the exhaust/filter fan coming on with every raising of temp. 1 degree above my set temp. and turning off the fan when 1 degree below my set temperature. Can' get much better temp. control.