My grammar is admittedly pretty farm boy, so I thought I’d check. This might be saying the sentence was fine. But either way what your suggesting is nothing like how I hear people speak

Some authorities prescribe that restrictive relative clauses (where the relative clause is part of the identification of the noun phrase) should only use that as the introductory pronoun, and non-restrictive relative clauses should only use which or who/whom as the introductory pronoun. In practice, either pronoun is commonly used to introduce a restrictive relative clause, including in edited prose. In contrast, it is not usual in edited written English to use that to introduce a non-restrictive relative clause, though there are occasional rare attestations.

https://en.wiktionary.org/wiki/that

I saw at least one typo there and figured I’d leave it for you