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When an SSR switches on, there is a voltage drop across the TRIAC junction that’s mostly independent of the load, so a higher current rated SSR will only be slightly cooler due to its lower loss. The data sheet should show a value for "on voltage" at full load or at differing loads. I don’t...

Your 6KW heater load is 27.3 Amps at 220V, so it's no surprise the 30A relays are failing. SSRs can be a good solution, but with your high load you need to consider the heat they generate from their internal loss. The data sheet I found on Ebay says 1.6V voltage drop, so at 27.3 amps that's 44...