Harmonize method filter and field filter application in search algorithms

[sbrannen]

Overview

After completing #3532, I noticed that the changes made in conjunction with #3498 do not apply the predicate as consistently as in #3532.

Related Issues

• @BeforeAll method in super class skipped when it has same name as a @BeforeEach method in subclass #3498
• @TempDir field in super class skipped when it has same name as a @TempDir field in subclass #3532

Deliverables

• Consistently apply method predicate in search algorithms analogous to the application of field predicates.

[sbrannen]

This has been merged into main and backported to 5.10.x.