Don't know, different banks have different procedures. One of my former employers did not do look at Chex Systems during the employment process, but did look when they set up the employee's new account for payroll purposes. I had to let an employee "go" on her first day on the job.
If you reimburse the bank where you had the charge off, your record will note that and then you won't have to worry about it anymore. Just fix it.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.