0.01 USD fee would be normal in my opinion. Lower fees are for everyone, and I would leave option +10$ fees for people who wish to make very high amount of bitcoins very fast, but generally for us normal and ordinary people lower fee is important.
I think even 10k sat is enough no matter the price of bitcoin is.. because we are living in bitcoin before with small fee transaction and now slowly we are seeing the fee should increasing because if you pay small the transaction will long to receive..
yes to me the price must be low as if we want to attract more and more people in bitcoin world. if the transaction fee will be reasonable then people will give more preference to bitcoin.