Lens is best for aggregating data (seeing counts / summaries of data). When you visualize a "keyword" field like your
searchInfo.keyword field, lens is using "top values" (top hits in Elasticsearch) to return the most used terms for your slice of data. If you click on your keyword field in Lens you can control how many terms come back with a hard limit at 1000....and you can also disable this "Other" functionality which shows you how much is excluded from the top 1000 terms.
If you're interested in building a table that isn't aggregated (not counting anything), try using Discover instead of Lens to build a table of documents at a one row per document.