It can make the underwriting more difficult, so I would address bonding early rather than leave it until the application is ready to file.
The state sets its licensing and security requirements. The surety then makes its own decision about whether it will issue the required bond and on what terms. Those are two related but separate assessments.
An underwriter needs to understand the financial strength behind the obligation. If the company and its owners have little history that the underwriter can assess, it may ask for additional financial information, support, or collateral. Cash collateral or a bank-supported arrangement may be considered, depending on the case. I would not assume that every foreign founder must provide a fully cash-backed bond, or that having a U.S. director automatically makes bonding straightforward.
For context, sureties assess factors such as capital, liquidity, cash flow, management, and operating history when evaluating risk. The precise criteria and terms depend on the product and provider. Travelers' underwriting explanation
My practical advice is to obtain an indicative assessment from a surety experienced with money-transmitter obligations before committing to the full licensing budget. Establish the premium, any collateral requirement, and the financial documents needed.
If the resulting commitment is too heavy for the business today, that is a reason to compare a properly structured authorized-delegate arrangement while you build operating history and financial strength.