Based on the research documented in this comment, T149143 and the research documented here that was done on Relevance Forge, we'd like to go forward with replacing double quotes with a space in search queries.
This replacement will help with queries like
albert"einstein" house
or
"albert einstein"house
which are currently treated as three separate words. Using spaces instead of stripping out the double quotes, will keep these types of queries as three words. We don't feel that there is any downside with having extra spaces in the query.
We'll need to check the edge cases for languages that use spaces and don't use spaces in their words.
Likely prerequisite: T156019: Develop plan for dealing with numerous second-try searches, aka "So Many Search Options"