Measured rather than advertised, from my own reissues this year:
PayPaw quotes around fifteen minutes through the bot. Mine have run twelve to about forty, and the forty was during what looked like a queue rather than a fault. Funding lands within one confirmation.
Vyrion issues in a couple of minutes but has a $150 minimum on a card's first deposit, so "working replacement that can take a top-up" costs you $150 of committed float per burn. At your described volume that is probably noise, but it is not zero and it is the sort of thing that breaks a process spec written by someone who assumed cards start empty.
Laso is different in kind - the voucher mints and is spent, so there is nothing persistent to burn. If your client's threat model is "a card number leaked", that model has no card to leak beyond a single transaction. Whether that fits depends on whether they need a number that survives more than one purchase.
All three are inside a working day comfortably. None of them are inside five minutes end to end including funding, whatever the marketing says.