This is a good clarification. Indeed, ideally you’d want to put your money into that higher-interest vehicle as soon as possible, so basically, the same day you get paid.
In the limit, if you were to receive income once a year, you’d put that into savings immediately, which is maybe on January 1st, or earlier or later, depending on when your actual payday really is.
If you get a windfall, you’d also not want to let it linger on your current account for (next to) nothing, but put it to work as soon as is feasible.