See if you can find anything in print (including internet) that supports that claim.

If you want my guess, it sounds like something posted in sarcasm that was then repeated as fact.
First of all, the DOT designations are part of the FMVSS - Federal Motor Vehicle Safety Standards. They're there to protect us (and the manufacturers) on critical items. So a fluid that turned solid making the brake system completely useless would never have made it into the standard except as a major F-up.
Second, silicone based (primarily dimethyl polysiloxane fluid) was created in large part because it is not hygroscopic.
For that reason FMVSS 116 (Brake Fluid standards) test procedures for DOT 5 relating to water absorbtion are different than for DOT 3 and DOT 4.

FWIW, SAE J1704 is where the composition of the different brake fluids is described. That's an industry standard rather than a Federal standard. The Feds only care if it works, not how it works.

As a result, DOT 4 usually has esters as well as glycol. It mixes with DOT 3 and has similar viscosity. Both absorb moisture over time. Both should be changed as needed; If racing, the moisture lowers boiling point and increases compressiblity. If just regular or weekend driving; the corrosion inhibitors get used up and rust can become a problem.

DOT 5 silicone based has several characteristics that make it unsuitable for certain uses. The viscosity doesn't work well with some ABS. In some environments, moisture that does get in the system could (theoreticly?) collect in low points. (I suspect if this was a real issue, we'ld hear and read anecdotal stories about it). Finally it is more compressible than the glycol and ester fluids. This compressibility goes up with temperature.

Road racing requires every bit of pedal feel and braking performance possible. Road courses also require repeated braking that can elevate brake fluid temperatures far higher than seen on most public roads or other competition venues. A pedal that gets spongier and travels further during a race is at best disconcerting!

One public road situation where brake fluid can get pretty hot is long and repeated downhills with heavy braking loads. So yea if you're driving your classic in places where the brakes get hot enough you can smell 'em, DOT 5 may not be the best choice there either.

So to the original question by the OP, for many situations DOT 5 is fine. Yours seems like it would good for what you want and plan to do.