Can we restrict the common lookup values based on screen?

On Hire an Employee Screen, under Assign Managers section, there is a Type field which gives a drop down list of Manager Type. 'Compensation Manager' is a manager type that we have created via manage common lookup.

However, our client wants to hide this value on the Hire an Employee screen only. But "Compensation manager" value shall appears on other screens such as Create Work Relationship screen, Change Assignment screen, wherever the Assign Managers or Maintain Managers section is involved.

Is there a way to implement this requirement?