Do you think an effective HR team should follow a strategy thats general ? or should build a new strategy from the ground up ?

First see what solution is required at what level and then make a decision accordingly.

Each organization should have its own strategy which reflect its high purpose it founded to.

Thank you for raising this valid question which is very relevant today.  

An effective HR team must use a mix of General strategy and New strategy to cover competitive business changes in our complex business world today.

The HR Head must base his/her strategic decisions with reference to the Organization's Goals and Vision on Current and Tested industry/market trends.