Yes, your allowable maximum is $9300, but the $1000 catch-up provision must be contributed to the specific person's account. The $7300 can be split any way you choose. It should be allowable for you to contribute $8300 to an account in your name and $1000 to an account in your spouse's name.
If you are getting a different answer from Turbotax, someone else will have to review your entries, I don't have the time to follow them now. Also, it may be that Turbotax is still programmed for the 2021 limits. Sometimes these calculations are not updated until later in the filing season. (Although the web site says form 8889 is ready to file.)
