Exhausting outside during winter question

But ya you def could do that

It's called using a lung room. just vent into another part of the house. get fresh air from surrounding area

In the winter I run a ducted light system. Drawing air to cool the lights from outside side of the flowering room, through the room and out into the house. This let's me keep the heat from the lights for heating purposes (which saves some money). And doesn't carry the wonderful aroma into the house. Then there's another two fans with carbon filtering used to exchange the air of the flowering room that are ducted to my garage. That helps keep it warmer out there too.
In the warmer months (before I take plants outside) the lights are also ducted to the garage.
It works out pretty good for me this way. In the summer through the fall I just grow outside so heat isn't an issue.
Good luck friend!