The test fails locally and it can fail with both browsers on Windows.
I ran the test using the parameterized version of the test class org.eclipse.swt.tests.junit.Test_org_eclipse_swt_browser_Browser that can be found in #672 (I disabled all other tests in the class to speed up the testing), I swapped the parameters around and also enabled/disabled them, just for fun, and this is what I saw:





Note: [browser flags: 0] means Edge and [browser flags: 524,288] means IE
The only combination that I couldn't get was: First Edge then IE and both failing... but I can't say that one won't fail either.