Again, an unrealistic scenario.
I (like most users) don't get paid$ 10 many times over the course of a month. I usually only pay$10. After 10 payments, my channel will be reset to zero. And you will need to either re-create the channel, or replenish it using a third-party service. And this is the fee for an additional on-chain transaction.
I'll try a more realistic one: how about you get $1000 salary once a month, and pay your normal bills with it? Then you indeed can't use the same funds several times. It becomes slightly better if you receive your salary every week. You probably don't want an open channel with your employer (I wouldn't want them to know my remaining balance), so you'll still need a third party.I (like most users) don't get paid$ 10 many times over the course of a month. I usually only pay$10. After 10 payments, my channel will be reset to zero. And you will need to either re-create the channel, or replenish it using a third-party service. And this is the fee for an additional on-chain transaction.