What is the overall transfer function for this sensor considering its datasheet specs?
The datasheet transfer function is valid for Vs=4.85V to 5.35V min ( ≈ ±5%).
What is your expected variance over all environmental changes ?
If outside this, then the specs no longer are guaranteed, but it can be re-calibrated.
It is ratiometric with the 5V supply , i.e. proportional and linear but only within the +/-0.25V range of 5.1V
Vo = Vs * k  where k= P*0.009 - 0.0095
If you have a higher voltage available then a 5.1V LDO could prevent changes to Vs for this 10mA max sensor and the verify environmental and component tolerances to your required and SPECIFIED design tolerances for accuracy which are TBD in your question. (hint)  Since the output is not rail to rail, this gives a little more range near 5V if your ADC is 0 to 5V.  That's my guess why they chose 5.1V using  a BJT Op Amp inside.