Yes, however people who are not willing to do the test, simply call sour grapes.

For e.g., suppose you make a claim "strawberry tastes sweet", and I have never eaten strawberry before, I'll say "can you prove it?". You'll say "Sure, here just take a bite, and you'll know for yourself". And I respond "Nah, I don't want to do that. Can you still prove it? The burden of proof is on you".

No, the burden of proof doesn't always rest on the person making the claim. Once he outlines the method to verify it, his job is done. The burden of verifying the proof now rests on the skeptic.