http://codes.ohio.gov/orc/935.12
935.12 Compliance.
(A)Except as provided in division (B) of this section, a person that has been issued a permit under this chapter for a dangerous wild animal or animals shall comply with the requirements regarding the care and housing of dangerous wild animals established in rules.
(B)A person that has been issued a wildlife shelter, wildlife propagation permit, or rescue facility permit under this chapter for a dangerous wild animal or animals specified in division (C)(20) of section 935.01 of the Revised Code shall comply with both of the following:
So, the "more lenient" housing conditions only *seem* to apply to those Indicated in section b, while those with the restricted snake permit are subject to those laid out in the "Application of Rules" section, including the ZAA.