Customize the default fields in basic issue search

When using the basic issue search, there are a few default fields available to use. Whenever the required fields are not available among the default ones, you can add the fields you need by clicking the "More Criteria" option and add the field you require. If you often use the basic search, and often require fields not under the default ones, looking them every time becomes tiresome. Could some functionality be added in which you can customize the default fields? I tried to work around this by making JQLs and switch back to basic search, but in that case the extra defined fields in the JQL are not taken in the fields under the basic search, though the additional fields ARE checked when you go to the "More Criteria"option