It doesn't make any difference. The marketcap won't be affected at all.
You are correct the marketcap is the same, but it
will make a difference.
You can find multiple new threads every day on these forums from newbies that don't understand marketcap, talking about how "penny coins" are cheap because the price is so low, completely oblivious to the billions of coins/tokens there in circulation. If you launched an ICO charging $10 for a token, a lot of newbies would say it's overpriced, regardless of marketcap or circulation.
And the use case of the token has never matter in ICOs before - morons will throw their money at anything with a nice website, even if it is a complete ponzi piece of trash scam.