From experience.
Spot finishing the floor will give that area some protection as opposed to wearing away the bare wood and doing this is better than nothing.
You will not be happy, because your wife will not be happy, and she will tell you why - because the floor will now have new looking shiney spots and everthing else will look dull. Kind of like painting the rust spots on the old truck with green fence paint. This is an insult to your wife's (your's too) cleaning habits, her upbringing and her parentage. She may even throw God in the mix.
You can say things like; It's only temporary until summer when we can do the entire floor with the windows open. We need to mitigate the terrible wear on the wood now. And when the dog licks it, he's only checking to see if it's dry.
She will not believe you. She knows you. You may die from severe blood lose in the night.
Put your affairs in order before you proceed.
MGHMOYS Pete