API Response & Issue Change timing

I am using the following endpoint to fetch issues from Jira - /rest/api/3/search
I have a number of issues to fetch ~70K, while I am cycling through each of the pages, some of the issues get modified, deleted or created as an example:
maxResults = 50
I am assuming I get issues ordered 1 through 70K in ascending order and I retrieve them 50 at a time. After sending the search query, issue #2000 gets updated (new comment gets added). Will the new comment be reflected in the response or do I need to subscribe to a webhook simultaneously to get notified of changes and track things based on my local timestamps. Please advice on the best practice to follow.

Thank you in advance.