HyperDia tends to be very late in reflecting the newest timetable.
I recommend that you avoid relying on HyperDia for timetables on a date more than one month hence, like 24 February 2018 which you set this time.
On result pages of HyperDia, currently there is a disclaimer saying that search results may differ from actual timetables when you specify 1 October 2017 or a later date. looking at ways to get to Hiroshima from Kinosaki.
How is your whole itinerary?
When you plan to travel by rail just inside Kansai plus Chugoku Regions and your furthest destination (from Kyoto City) is Hiroshima City or Miyajima Island, a JR-West Kansai-Hiroshima Area Pass may be suitable. https://www.westjr.co.jp/global/en/ticket/pass/kansai_hiroshima/
Unlike a Japan Rail Pass, this JR-West pass can be used for Shinkansen Nozomi and Mizuho rides on the San(-)yo Shinkansen, while it is not valid on the Tokaido Shinkansen (Tokyo -- Nagoya -- Kyoto -- Shin-Osaka, operated by JR Central).
Using this JR-West pass, you can travel from Kinosakionsen Station (07:58) by JR San-yo Line, Bantan Line and San(-)yo Shinkansen to (12:50) Hiroshima Station.
(You change trains four times, though.) http://www.hyperdia.com/en/cgi/en/search.html?dep_node=KINOSAKIONSEN&a...Is there a list for which local trains are covered by the JR pass (like Tokyo's Yamanote line?)
Such a list has to be very long, even if it is available.
: Reddish purple train marks indicate non-JR trains.
: Yellow green train marks are used for JR trains; however, HyperDia regards trains which go on both
JR and non-JR sections just as
JR trains, so you cannot distinguish by a mark such through trains from JR-only trains.
On the following page of the Japan Rail Pass website, there is a list of major JR - non-JR through trains and the sections concerned which are not covered by a Japan Rail Pass. http://www.japanrailpass.net/en/about_jrp.html
For example, even when you donft check "Private Railway" box, HyperDia may return a route where a Limited Express Super Inaba goes from Tottori through the non-JR section of Chizu Express (Chizu -- Kamigori, not covered by a Japan Rail Pass) to Okayama, showing this JR-Chizu through train just as a JR train with a yellow green mark.
(On this route, you change trains twice.) http://www.hyperdia.com/en/cgi/en/search.html?dep_node=KINOSAKIONSEN&a...
To travel by this route with a Japan Rail Pass used for the JR sections, you should pay 1820 yen | 1720 yen for the Chizu Express section (= 1300 yen as a basic fare + 520 yen | 420 yen as a Limited Express surcharge for a ride with | without seat reservation).
07:58 Local train
| JR San-in Line:
10:02 Limited Express Super Inaba 4
| JR Imbi Line until Chizu +
| Chizu Express until Kamigori +
| JR San-yo Line
11:56 Shinkansen Sakura 553
| JR San-yo Shinkansen
: You may have to hurry in making a transfer in Okayama Station from Track 2 via Shinkansen Transfer Gate to Track 22.