Hi JKESX
As it stands at the moment - no your PIP assessments won't be used automatically for your ESA assessments. Although there is some overlap the criteria for each is different. People do however, some claimants do quote from their PIP assessment reports (PA4) when they are filling in a review for ESA.
Whether you are having a PIP reassessment or an ESA reassessment one won't influence the outcome of the other as far as the Health Professional (assessor) will only have access to the information of the particular benefit they are assessing. (They will be aware of what other benefits are claimed).
BIS
Nothing on this board constitutes legal advice - always consult a professional about specific problems