Gas ovens are vented that way. The have bigger vents to remove products of combustion.

I've never had an oven that was vented to the outside and I've never had one that dumped a "ton" of heat into the room unless the door was open. It would seem to be a very inefficient oven that would do so. I'd contact a Bosch service rep to ask if something is amiss.

The install is fine. You likely need a more robust vent above to duct the extra heat to the exterior. Wall ovens aren’t not vented. They are insulated, and release the same heat back into the room. Slowly. This does it faster.

This is a diagram of the vent on a Bosch gas range from its manual. I think it is similar to yours. Whenever I have had a gas range I always used the heat to keep stuff warm. Most of mine were in the middle more.

https://media3.bosch-home.com/Documents/9000449296_A.pdf

There are some MW over the range fans with 500 CFMs. Not 1000CFMs but much better than nothing. I used to have one that was 300 CFMs and it helped.

Been there, done that. There’s no comparison between any MW venting, and an efficient, proper vent hood.

Thanks to all - this clears it up - it's "normal" for this kind of setup. It's a pretty awful quality builder's base grade set up but for now we are going to live with it.

“It's a pretty awful quality builder's base grade set up but for now we are going to live with it.”

Agreed. Just because the stove is Bosch, doesn’t make it high end. It’s good you recognize that. Live with the setup for a while, until you can save enough moolah to invest in a quality range, and vent hood...or rangetop, vent hood, and double ovens. Then, return here for advice on brands, and their functions.