Complex boolean queries work great. Manticore also supports over 20 full-text operators — a lot more than Elasticsearch. That's one reason it's popular in areas like patent and legal search, where strong full-text matching is especially important.
Custom script scoring is available - https://manual.manticoresearch.com/Extensions/UDFs_and_Plugi...
Vectors - yes. Recent blog post on it https://manticoresearch.com/blog/quantization/
Pipelined aggregations - no.
Nested documents - no, but Manticore supports INNER JOIN and LEFT JOIN.