If you still have goods buildings in your city, then a moderately leveled Chateau would enable you to delete them and build FP producing or attack boosting buildings instead (provided you can do enough quests). But does this make it worth it FP wise? Well it sort of depends on what buildings you would build in place of the goods buildings the Chateau would allow you to remove (and the level the CF needs to be at to replace them). It also depends on whether or not you even have any goods buildings, because if you already get your entire goods production from FP producing event buildings, then you really wouldn’t benefit from deleting anything (because your space is already filled with FP producing buildings).
Another thing to consider is your age. If you are in a lower age, the excess goods the CF produces are essentially worthless. But if you are in a higher era, the you can sell those goods for FP. You may be thinking that you could burn through the excess goods in GBG (and get lots FP from that), and while you definitely could, this won’t offer the amount of FP you would think. If you are already fighting or negotiating to your “attrition cap” each day the amount of goods you would burn per negotiation at that point is so high that even with a stash of 1000 of each good or more, you would burn through most of your stash before you got a substantial amount of FP. While this is still the best way to use up useless goods, the return on investment isn’t close to high enough to justify building a great building just to do this.
Also, the best way to use the CF is by having a level 80 arc and doing the “spend FPs” recurring quest when you contribute in your guild’s 1.9 thread. This is essentially how a player can do “endless” recurring quests and the CF will drastically increase the goods you make from this. Since your arc isn’t at level 80 yet, this wouldn’t be an option to you. And this is exactly the reason why, even if you have loads of goods buildings you could otherwise remove, or are in a higher era and could sell the goods for FP, I would never recommend a CF to a player who doesn’t already have a level 80 arc. Reason being, you just wouldn’t be able to fully take advantage of it and your FP is better spent on other things (your arc for example).