Please be aware of what I was saying. Is not about the cost of first deposit (aka opening a new channel), but about the next deposits, when your inbound liquidity is low.

Phoenix and Green are using the "splicing" method to expand the channel with the next deposits. That means EACH time you pay the fees as it would a new channel opening.

So to avoid that, the first deposit must be bigger so you create from the start a bigger channel with just one time fee.