I wouldn't specifically worry about it, but I've generally asked for DOT 4 or even DOT 5.1 sometimes. There isn't any specific requirement for exact composition. All DOT 3/4/5.1 has to be compatible with each other. DOT 5 is silicone and not compatible with glycol brake fluids. The number only specifies minimum performance for certain requirements and doesn't specifically specify how much it attracts water. Castrol used to sell their DOT 4 brake fluid as "LMA" for "low moisture activity". I've seen some higher performance DOT 4 brake fluids including the old Valvoline SynPower brake fluid which had specs approaching DOT 5.1 performance.
There are also minimum standards for viscosity based on DOT level. DOT 5.1 is required to have the lowest viscosity. However, if something meets the DOT 5.1 requirement for viscosity but only the DOT 3 requirement for wet boiling temperature, it's classified as DOT 3. DOT 5 numbers apply to DOT 5.1, although it's not silicone.
The specifications are all here:
S5.1 Brake fluid. When tested in accordance with S6, brake fluids shall meet the following requirements:
S5.1.1 Equilibrium reflux boiling point (ERBP). When brake fluid is tested according to S6.1, the ERBP shall not be less than the following value for the grade indicated:
(a) DOT 3: 205 °C. (401 °F.).
(b) DOT 4: 230 °C. (446 °F.).
(c) DOT 5: 260 °C. (500 °F.).
S5.1.2 Wet ERBP. When brake fluid
is tested according to S6.2, the wet ERBP shall not be less than the fol- lowing value for the grade indicated:
(a) DOT 3: 140 °C. (284 °F.).
(b) DOT 4: 155 °C. (311 °F.).
(c) DOT 5: 1 180 °C. (356 °F.).
S5.1.3. Kinematic viscosities. When
brake fluid is tested according to S6.3, the kinematic viscosities in square millimeters per second at stated tem- peratures shall be neither less than 1.5 mm2/s at 100 °C. (212 °F.) nor more than the following maximum value for the grade indicated:
(a) DOT 3: 1,500 mm2/s at minus 40 °C. (minus 40 °F.).
(b) DOT 4: 1,800 mm2/s at minus 40 °C. (minus 40 °F.).
(c) DOT 5: 900 mm2/s at minus 40 °C. (minus 40 °F.).
I've heard of racers using "heavy duty" DOT 3 brake fluid with a high dry boiling point (typically 450+ºF). As long as it's flushed often (a racer might do it before a racing weekend) the wet boiling point will never be an issue. That's actually higher than the minimum dry boiling point for DOT 4.