Actually, both base oils start off with approx. a viscosity of base oil that measures a kinematic viscosity of 5.0 cSt at 100 degrees celcius, so they are both the same viscosity or thickness at that temperature.
The greater the Viscosity Index (VI) number of the base oil mixture, the better it performs over wide temperature ranges.
The difference between the two is the Viscosity Index or VI. A mineral oil has a lower VI which means that it will thicken up sooner at lower temps, and thin out sooner at higher temps, whereas synthetic oils are just the opposite; that is, synthetics hold their viscosity values over widely varying temperatures.
Most base oils (mineral and synthetic) are a binary (two base oil viscosities) or ternary (three) or more mixtures of different viscosities. For a binary mixture you take the 5.0 cSt oil and mix it with a thicker oil. For a ternary mixture, you take three base oils, etc.
The thinner base oil helps the oil to flow better at low temps and get better pour points, while the thicker (higher viscosity) base oil helps to keep the oil from thinning at high temps; the thicker base oil also reduces volatility, and increases shear resistance, as d00df00d has stated.
In minerals oils, to get a higher VI number, more viscosity index improver (VII) is added to compensate for the low natural VI of the base oil.
In synthetic oils, little or no VII polymer is added since synthetic oils have a higher VI with which to start.
Generally speaking, for multi-viscosity oils (X W XX), the greater the difference in the low-temp, high-temp number, more VII's are added to span the viscosity or weight range.
Today, better VII's have been developed which shear much less than the VII's of yonder years. Many VII's have Shear Stability Indices of 25-38, which is remarkable. In addition, many can reform their molecules after shearing takes place.
So it's not as simple as that person suggested.