In that case you might be ending up in a conflict where SCCM removes the old version, then possibly BigFix starts an MSI installation, and SCCM fails to launch the second MSI action for VMWare tools. You can get into the same kind of issues when using any two deployment systems (BigFix vs GPO vs SCCM vs anything else) - with one MSI running, the launch of a second MSI would fail with a message “Another installation is already in progress”.
It’s not that either installation kills the other, it’s that the second won’t launch while the first is still in progress