You can also take "JR Kobe Line" trains by that Pass.
The reason why the line name is different and route mistake of Google(G) will be explained in 2) and 3).
1) transfer :
JR-West's official route finder(tranfer search) teached me best result than G.https://www.westjr.co.jp/global/en/timetable/https://i.imgur.com/33VsBPU.png
Transfer will increase 1 time, means 2 times total at ShinOsaka and Sannomiya,
but if you can book the reserved seats of both Ltd express trains,
you can sit until "Sannomiya" station long, just ahead of Kobe and reach there 5 mins earlier.
Reserved seat tickets of both Ltd express trains can also be booked before Wakayama
even at JR station where has "Midori no madoguchi= JR's ticket window's nick",
including "KIX station" or even in far region such as Sapporo(Hokkaido), Tokyo, Hiroshima and more.
The result of G is not so bad, but I can not recommend it to travelers who travel with big baggage.
Bc if you can not sit down at the next stop "Osaka" station get tired.
The peak of evening rush has already overed during that weekday, but it is still crowded usual like these.https://youtu.be/oHPamq-6jl0
(skip to 22:40 and play until the end)https://youtu.be/XuB37sI37cE
2) route name :
The route name G result shows "Tokaido-Sanyo Line " is not wrong,
but can not to be said "correct" route name as formal, also directions at stations and announcement.https://i.imgur.com/OOrjlv7.jpghttps://i.imgur.com/Cf7FkC0.jpg
"Tokaido Main Line" is a major Japanese railway line of the JR group network,
connecting "Tokyo" and "Kobe" stations, it is 515.4 km (320.3 mi) long.
The western part of the Tokaido Main Line fr "Maibara" to "Kobe" is operated by JR-West.
Although the line is divided into three segments, known as
JR Biwako Line (Kyoto - Maibara), JR Kyoto Line (Osaka - Kyoto), and
JR Kobe Line (Himeji - Kobe - Osaka) as line nick.https://en.wikipedia.org/wiki/T%C5%8Dkaid%C5%8D_Main_Linehttps://en.wikipedia.org/wiki/JR_Kobe_Line
I write it in English here, but in fact it is written in "Roman (specialized Hepburn)",
but it is small different, mainly long vowel (a, i, u, e, o) pronunciation becomes long or not by "macron".https://en.wikipedia.org/wiki/Hepburn_romanizationhttps://en.wikipedia.org/wiki/Shin-%C5%8Csaka_Station
In the section nicknamed "JR Kobe Line",
the section fr Kobe station to Himeji west is changed to "JR Sanyo main line".https://en.wikipedia.org/wiki/San%27y%C5%8D_Main_Line
The 2nd train end station is in the JR Sanyo main line station, so G is just showing it like that.
However, since this is not used at the actual station aleady mentioned above with station photos,
please look for the guide display of JR Kobe Line at the ShinOsaka Station.
It seems that this time is not the first time in Japan,
so you do not need explanation of how to view train departure guidance, I guess.
Transfer at Shin-Osaka station, Platfom is 1F, but because there is no 2F in the ticket gate,
you have tol go up to the 3F once for transfer, below link is station map written in EN.https://www.westjr.co.jp/global/en/timetable/pdf/station_shin-osaka.pd...
3) wrong operating route of G :https://postimg.cc/gallery/2exc1m0jo/
Only the part surrounded by a RED circle on the 1st map is wrong.
On the 2nd map, the BLUE line is "Kuroshio", and the RED line is the 2nd train fr "ShinOsaka".
"Kuroshio" does not stop also pass at "Osaka station",
bc Kuroshio enters the freight line before and on to JR Kyoto line again as detour Osaka station.
The 2nd train goes down to Osaka station only through JR Kyoto line, no entering this freight line.
This is a route map of "Ltd Express Haruka" connecting KIX, passing through the same freight line.https://www.westjr.co.jp/global/en/ticket/icoca-haruka/images/icoca-ha...
You can understand immediately that passing "JR Osaka Loop Line" counterclockwise is the wrong.
I do not know why such a big G-Maps bug is left unattended, but this is very rare.
I often see cases where search results that require transfer are not perfect, though.
Anyway, only the 3rd problem is not important, no worry.