The guys at Compound Chem say: yes and no. It all depends on how much the fruit has ripen and for how long will you keep the tomatoes in the fridge.
So, here are some ideas:
– don’t put tomatoes that did not ripen in the fridge
– ripen tomatoes can be put for up to a week and then you need to keep them at room temperature for 24 hours (tis way the flavor comes back)
– if you keep the ripen tomatoes more than seven days in the fridge, then they won’t taste that good anymore.
More info in this page.