I think your dealer is right, but it depends greatly on your expectations.
For starters, just because anyone installs a 2,000-Watt inverter doesn't mean they will use it at that high a capacity, right? You may be going higher-capacity now so you don't have to replace the inverter later.
If for example you mainly use the inverter to power TVs that may not pull that much power, then the batteries will do almost as good as if you install a smaller inverter. Oversizing inverter may mean lower efficiency at very low power rates, but that's not likely a great difference in itself.
Also if you use the 2,000 watts (or less) for a minute or two at a time, two good batteries will be OK -- although not ideal. It's only if you expect to run 1500-watt appliances for many minutes at a time that you will drain batteries too quickly.
Longer term you'd want to look at more battery capacity, but that also depends on your planned use.
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