The actual energy content of the air in a fridge is tiny. Even if you swapped the air in the fridge out 30-50 times a day, its still less energy than it takes to cool down a bottle of water.
The specific heat of air is about 0.718kJ/kg C while water is 4.18kJ/kg C. A bottle of water is about 1kg, so 4kJ. With a 20C difference between room temp and fridge temp, a bottle of room temp water will need 80kj of energy removed to bring down to fridge temp. 80kJ=22 watt-hours.
To equal that amount of energy, you would need to cycle 5kg of air through the fridge. 5kg of air is about 4.5 cubic meters of air. For a 60 liter fridge that is completely empty, that would require replacing the air in the fridge 75 times.
Insulation is much more important than door type. High efficiency home units will have 4-6" of insulation, while many mobile units will only have 2-3"
If you wanted to offset the energy lost from air leaving the fridge, you could just put your condiment bottles away immediately after use. Or avoid putting warmed food directly into the fridge after eating.