I had several conversations with publishers and asked them about their takes on accepting or not games made in Godot. And without naming any names, here is what I can say.
While they were a bit skeptical a few years ago, after the recent gamedev industry developments, and hits like Brotato, and Cassette Beasts, there isn’t any doubt now that if the game is good they will pick it up.
An issue that still exists is that some of these publishers have developers that can assists the indie devs to work on the game, and those experts are mostly Unity developers, so it will be harder for them to offer you extra help. This is changing since there are more people entering the workforce with Godot knowledge now, but it is still not at the level of the rest of the engines (Great opportunity to do Godot consulting now 
).
There are also pros when using Godot. A rep from a big publisher wasn’t concerned at all about porting to consoles when I asked them. Their concern was “is it hard to run Godot games on the Steam Deck?”. Since you can export to Linux natively, you know that it is not hard at all. This was a nice surprise for them.
The license is also a big thing. Specially now. Even if Unity backtracked on the install fees as they were before, everyone is aware that the conditions might change at any moment, and this is not something that will ever happen with Godot.
So, while I can’t certainly talk for all of them, I can tell you that this is not the biggest deciding factor for them to pick or not your game. Not sure who this “consultant” is, but If you get any push-back because of it, it is probably not a good match. Good luck with the search!