In your case, a no-flare, level-flight-1G-touchdown would not normally qualify as a "hard landing." Typically, a "hard landing" as such would usually include a bounce.
Here's what Boeing says:
"For landing at or below the maximum design landing weight on
airplanes with flight data recording systems capable of at
least least eight (8) samples per second, the following can be
used: An indication of a hard landing on the main landing gear
is a peak recorded vertical acceleration that exceeds 1.7 G
(incremental 0.7 G). This vertical accelerometer data must be
measured by the flight data recorder accelerometer at a data
sampling rate of at least eight (8) samples per second. This
vertical acceleration G-level threshold is valid for a
conventional landing with impact with no more than two (2)
degrees of airplane roll, main landing gear touchdown first and
normal rotation onto the nose gear. For a hard landing that is
a hard nose landing or is accompanied by more than two (2)
degrees of roll at the time of main landing gear impact, The
recorded peak acceleration can be significantly less than 1.7
G, but a hard landing inspection may still be necessary.
(b) For landing at or below the maximum design landing weight on
airplanes with flight data recording systems capable of at
least least sixteen (16) samples per second, the following can
be used: An indication of a hard landing on the main landing
gear is a peak recorded vertical acceleration that exceeds 1.8
G (incremental 0.8 G). This vertical accelerometer data must
be measured by the flight data recorder accelerometer at a data
sampling rate of at least sixteen (16) samples per second.
This vertical acceleration G-level threshold is valid for a
conventional landing with impact with no more than two (2)
degrees of airplane roll, main landing gear touchdown first and
normal rotation onto the nose gear. For a hard landing that is
a hard nose landing or is accompanied by more than two (2)
degrees of roll at the time of main landing gear impact, The
recorded peak acceleration can be significantly less than 1.8
G, but a hard landing inspection may still be necessary."