Ok, I have check this from my local Sony contacts. I was assuming that Sony won't touch the grey import bodies, but I might be wrong and then this will be a lot easier situation to handle.
I asked ChatGPT about the repair, here is the response: Short answer: yes — Sony will usually repair a grey-market camera, but there are a few important caveats.
✅ What does work
• Sony will accept grey-market cameras for paid, out-of-warranty repairs in the U.S.
That includes shutter replacements on cameras like the Sony Sony A7 IV.
• You do not need proof of U.S. purchase if you’re paying for the repair.
• You can submit it through Sony’s normal service request process just like any other body.
❌ What doesn’t work
• No warranty coverage — even if the camera is brand new or low shutter count.
• No Sony extended plans (Sony Protect, etc.) apply to grey-market gear.
• If a repair requires a region-specific part (rare, but possible), Sony can refuse or delay service — this is uncommon for shutters but worth knowing.
💸 Cost implications
Because it’s treated as fully out-of-warranty:
• Expect full retail repair pricing
(for an A7 IV shutter, typically ~$500–$600 USD via Sony USA).
• Independent repair shops may still be cheaper, but Sony service has the advantage of genuine parts and full calibration.