Amplifier would imply a Pre-Amp, and I don't think that many Distribution Amps have FM traps (as the first link does).
Booster would imply a Distribution Amp, though the Sheet for the (above) Booster, says it's for exterior use. That would also imply Pre-Amp.
The "booster" you linked to is intended to be installed at the mast head as close to the antenna as possible.
The "amplificador de senal" is intended to be installed inline somewhere and is likely a distribution amplifier.
A preamplifier is usually placed as close to the sensor (antenna) as possible. The purpose of the preamplifier is to amplify the signal before any further amplification or processing. It is usually used to compensate for long cable runs.
Preamps are lower noise and have less gain. In reality they are almost always just called mastheads here anyway. There isnt any real cutoff. Ive probably seen/heard "pre-amp" more here on DTV USA than through work. Sometimes the "pre" amp may be the only amp used.