Not to question a drill binding up, but usually a drill at maximum RPM's is not the way for one to use a drill bit !
The drilling should produce "C" chips as it works metal with a standard bit. In most cases, and I see this being done all the time. The user is trying to press the bit through the work with high speed RPM and heavy force, which are both incorrect.
The operator should adjust the RPM speed down to create "C" chips and
be maintaining only the force to hold the drill on target.
Besides it also helps to spray or grease the bit as well ...