Hi Lee,
I know you and I seem to like the same kind of music, if you want it almost identical to an original song, I think you’d get a closer result with a midi file.
IF, you manage to find what you want , be easier to tweak it up and get it sounding good.
Try and find a midi file and a song based style of the same song. Tend to think you will find the midi file will be closer than the style.
Styles do have some limitations , the amount of tracks, the notes that can be used for style tracks. If you like piano tracks, Yamaha for instance doesn’t recognise the sustain pedal ( controller 64 ) in its style tracks, try recording an arpeggio without sustain.

The beauty of an arranger really is , to come up with your own version (arrangement) of a song, using styles.

I haven’t used midi files in years. I have 100’s tucked away on one of my hard drives.
If I manage to find some that work better with a particular song, I have no hassle with using them, tweak it up, mute a couple of the tracks and play along.
The big IF is, if the midi files actually exist for the songs I want. If not , back to the arranger,
On the psr I can normally find a style that will work.
I’ve got an old music book, some old standards, musicals, etc, 50+ songs.
Most of those songs can be covered by half a dozen of the sx styles.
Broadway Ballad is brilliant, so is Love Song plus a few others, I try and avoid using Intro/Ending 2&3, sounds a bit odd , same intro for 20 different songs ,‼️
I use the count in or I’m going to try and find a little old book I had on using chord progressions for intro’s It had some great tips. If all else fails, I’ll get Band in a Box, to come up with some for me. (Progressions for Intro’s) Haha.
Other option might be, if there is a midi file available, just using the intro / ending, provided the style itself is close enough. Unfortunately not as easy to do on psr as on a Korg.