An amplifier only boosts whatever signal is coming off the antenna, less losses for connectors and the amplifier's noise figure (typically around 2 dB). It doesn't make the antenna any "stronger", per se, but it can be very beneficial in cases where weak signals are otherwise lost in the cabling, distribution system, and the TV tuner's noise figure (6-10 dB typ.).
Keep in mind that the integrated "signal meters" are rarely showing the signal power of the input signal. Generally, they are a proprietary combination, of signal power, AGC voltage, and signal decoding quality.
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