Here is one example of the massive loss of weight:
The weight difference between oxygen and nitrogen is less than 3%, but let’s take the full 3%.
One 255/40/17 summer tire holds approximately 13.88 liters (0.5 cu.ft.) of air at 2 bar (29.4 psi).
One liter of air is roughly equal to 1 gram so there are roughly 13.88 grams of air per tire, 55.52 grams in all 4 tires. Nitrogen is 3% lighter than oxygen, but there’s only 22% oxygen in air, so the difference in weight from all 4 tires is 0.3664 grams, that’s a whopping one third of a gram!
Here’s the math: 55.52 gr x 0.03 x 0.22 = 0.3664 gr
To put it in perspective, one official ping pong ball weighs 2.7 grams.