Yep, I wouldn't mention any work which you may, or may not have to do during your holiday.
If you have a tax residence, Id just give that or similar as your "residence".
Simple answers are best. Immigration officers are just paper pushers and are getting automated and replaced with machines. So don't go off-piste with your responses or they will crash and need rebooting
Just give simple logical and correct answers within the narrow realm they are expecting.
I have tried before to do the same and answer that I live nowhere and all it got me was major delays and ended up they just wanted where I "resided" so either tax "residence" or previous "residence".
Ideally, you should have right of residence in the place you gave as your answer.