As the question asks (above): is the creature's type one of the 'requirements' when casting a wish spell? If so, a Wish spell would have greater flexibility &/or utility.
This may have been answered (generally-partially) here in Stack Exchange (?): a Wish 'requirement' is suggested to be anything that prevents you from casting a spell. If this question is judged as a repeat question, apologies in advance. That aside, if creature-type qualifies as something that prevents the casting of a Wish spell ('case in point'), it also counts as argument-precedent and is thus useful for this answer.
Examples of using non-stress Wish when a creature's species-type is a 'requirement':
Reincarnation & Cloning of non-humanoids becomes possible via basic Wish spells (such as the reincarnation of fae (like Pixies) or the cloning of a dragon)
4th level Polymorph may be able to turn a creature into something other than a 'beast', not requiring the Wish spell to mimic the 9th level True Polymorph (True Poly is NOT 8th level or lower / would otherwise NOT work).
'Heals' may work on certain undead otherwise prohibited - or even rapid repair of Simulacra. In this example a Simulacrum specifically states they need (expensive / time consuming) repairs to be fixed and heals do not work. If one uses a Wish to cast a heal spell it could work *but only if the creature's type (Simulacrum) is considered a 'requirement'.
Do note that these are three examples only / not an extensive list.