Like, say, a large pan with food in it?
That's an object in the draft's upward progress, not something inherently destroying the natural convective forces.
Unless said pan blocks the entire air gap in the oven, so that no air can rise from below, it's merely a passive rock in the stream, which will flow around it and, naturally, saturate every part of said rock over time.
The fan will be creating an artificial current on top of the natural thermodynamics. I can't say whether it will help, hurt, or what... but it should be clear that, naturally, that hot air will rise up, encounter something, and the pressure differentials will naturally try to balance out by spreading out and ultimately finding an escape.
It's much like water flowing: you may have a very gentle stream, and you're measuring sediment patterns or something down-river. At the head of the river, or at least up-river, you install an accelerator/pump/turbine system of some sort (perhaps power-generation?)... whatever you were measuring before, will likely be impacted by this artificial addition to the natural forces.
Convection ovens are designed from the ground up, so internally, the rules play much like nature enhanced itself, as the system is predictable. Altering a predictable system to try and match an entirely different system can have unintended consequences.
It might work fine, might work even better - or it could be terrible in every way.