I do not recall the particulars of ISP redundancy configuration, but it stands to reason that if it is an active/standby setup, you only have a single default gateway and it'll be your primary ISPs next hop until it fails.
If the above is correct, you have to force the next hop for specific destination to be that of 2nd ISP's connected router's IP. In that case, perhaps following sequence will work for your test:
1. Can you ping adjacent IP address of the 2nd ISP router when sourcing from eth4 IP address?
2. If [1] is a "Yes", pick any, least likely to be used in production, public IP address and add a static route to it on your cluster member, using your 2nd ISPs IP as a gateway.
3. repeat the test.