Earlier quoted context omitted.
As a landlord, I always request cash or cashiers check for move in money. I don't want you living there for 3 months for free while I fight your bad check through the court system to get you evicted. It may sound shocking, but some people will do this. Source: me, landlord since 2001.
Cashier's checks are frequently fraudulent. You've been lucky if they worked for you. I use a credit card much more often these days, because the CC company takes fraud seriously. The banks don't. At least my bank did not.
On behalf of the cardholder they do. When a cardholder complains the card company just reverses the payment to the merchant in a 'chargeback', sometimes months later. Then the merchant has to appeal to get it back. So no the credit card companies don't care about fraud.
I would ask for cash...