In short - LINQ runs on the client machine, the execution plan happens on the database server.
Think of it this way: Lets say you have a database of clients and contacts. Lots of systems in your company connects to this database to access this data. Each of those systems will submit SQL in the form of 'select clientname from clients where id = 123' or whatever. Now lets say the client list grows and the old execution plan is not optimal any more. Our smart RDBMS can just dynamically fix the execution plan and performance goes up for every system accessing the database. If the RDBMS instead received a rigid execution plan, EVERY client system will need to recalculate the execution plan.
Also: lets say your client app connects to several different database servers. What's a good exection plan on one server it not going to be a good execution plan on another server, so LINQ would need to keep a list of database servers with table statistics, indexes, etc etc and continually monitor all of those for changes. It's massive duplication of work. It's much more efficient to have each database server look after its own execution plans.