Did a bit more research...
I see that Minwax has added a catalyst of some sort to their floor finish to speed up drying. It is actually a fast drying product. Again, there is so much technology going on with finishes nowadays that the traditional generalizations don't always hold true.
My only concern with these catalysts again has to do with any single coat being applied to thick or too soon. In either case this can create a situation where a film quickly forms around an uncured layer and impeeds drying of those innermost layers.
This used to be a concern with catalysts, I have no idea if it's an issue with the Minwax floor finish or not.
What can happen is easy to visualize. If the coats are too thick and the innermost parts don't dry, the solvents in the next coat will then dissolve the skin of the previous coat and you now have a double layer of wet poly.
In theory if this happened with every coat you could litterially end up with a 5 coat thickness where only the outermost skins of the first and fifth coats are dry. It is then much more difficult for these innermost layers to have the appropriate conditions for offgassing.
But honestly, polyurethane has become so advanced that it's hard for me to keep straight what is what.
The floor finish does not appear to be moisture cure so I'd keep baking the cage with the heater.
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Current snakes:
0.1 Gonyosoma oxycephala - (Silver/Yellow)
1.2 Gonyosoma oxycephala - (Green)
7.6 Gonyosoma janseni - (Black)
0.1 Gonyosoma janseni - (Black & Tan)