Hi there,
Glad to be of help! Yes I wholeheartedly encourage reaching out to at least one but sure potentially several (as many as you'd like really) current students and/or recent alumni of your target programs!
Many schools have designated student representatives or ambassadors who are more than happy to share their experiences with you!!
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The school, and the students, want to make sure everyone knows how great the program is!
Check out this page of LBS student ambassadors:
https://www.london.edu/experience/stude ... suRIOYmRQpThey have email addresses included! So just reach out and share your interest in the program and ask q's about their experiences!
For schools where you cannot locate student ambassadors, you can still reach out to admissions and ask to be put in touch with a current student and most are willing to do so. And yes there is the potential to touch on your communication with students in the essays and/or interview which can potentially be a plus as you've indicated.
Hope that helps and good luck!