Hi Josh. No. Unless there is a Suffix Field (“box”) [a suffix follows a name] or a Terms and Titles Field (rare these days) we just ignore the Jr, i.e. don’t index it or other titles/ suffixes like Sr or 2nd or III
Similarly for Mr. or Mrs. in a person’s name. If there is not a Prefix Field (“box) [a prefix precedes a name] or a Terms and Titles Field we would ignore those and other titles/prefixes, like Rev.
The Researchers will see those titles/ suffixes / prefixes when they look at the image. I suppose that Project Instructions could override these general rules, but I don’t recall that ever happening.