I am looking at using this nodejs package and it is labelled as "zlib like" with no further information.
What, if any, are the implications of the license being zlib like?
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The package you link contains an actual version of zlib - which in turn comes with a readme which has a license section.
The zlib-license in itself is very permissive (basically a "do what you want") and only asks for attribution when you use it and indication of changes when you re-distribute changed source code.
This noted, the package itself is still of somewhat questionable license as it does not explicitly contain its own license and wording (especially the sentence on "The library has been entirely written by Jean-loup Gailly and Mark Adler; it does not include third-party code." obviously cannot be true - but the intention should be clear).
However, to be really legally safe you will still need to contact the authors and ask them to clarify... maybe send them a PR with an appropriately adopted version of the zlib license (don't be lengthy, the license also asks to not send lengthy legal documents ;) )