2-session DVD: Linux shows new session's data while windows shows old sessions

Hello. Using xorriso to burn DVD the second time (without -multi, a.k.a. 
there is no 3rd session). The latest session's image is created using 
genisoimage -C (but not using -M, a.k.a. the old and new content are not 
related).

The burnt DVD has such special characteristic: with Linux (gnome), new 
content is mounted. With Windows XP, old content is mounted and shown.

I then look close to that DVD, found it has a big graphic "DVD-R" logo 
printed on it, which surprised me a bit, as I thought normally an 
attempt to burn additional session to DVD-R generates error. I took it 
as DVD+R with incorrect cover design.

I then tried to burn additional sessions the same way (cdrskin without 
-multi and genisoimage -C without -M) for another different DVD+R, this 
time, both OS show the latest session's data.

So this problem is either related to how the first session ISO image was 
burnt, or how the first session's image is generated, or that I simply 
did burnt a new session over an DVD-R.

So my question is:

1. Doses Windows/Linux handle multi-session differently?
2. If I can reliably reproduce this issue, wouldn't that be a way to
    prepare different content for Windows/Linux? e.g. for a Game CD,
    have windows installer and Linux installer on the same CD but
    different track/session.
3. I think I can reproduce this problem because I have another half-used
    DVD whose first session burnt in similar way and with "DVD-R" on the
    cover design. If you think I do a reproduce is informative, let me
    know what I should do to the cd before burning it a second time.
    (should I do dd? get toc?).

Thanks in advance!

$ cdrskin -toc         # of the so called "DVD-R"
cdrskin 1.1.0 : limited cdrecord compatibility wrapper for libburn
cdrskin: scanning for devices ...
cdrskin: ... scanning for devices done
cdrskin: pseudo-atip on drive 0
cdrskin: status 4 burn_disc_full "There is a disc with data on it in the 
drive"
scsidev: '3,0,0'
Device type    : Removable CD-ROM
Vendor_info    : 'TSSTcorp'
Identifikation : 'CDDVDW TS-L632N'
Revision       : '0503'
Driver flags   : BURNFREE
Supported modes: TAO SAO
cdrskin: burn_drive_get_write_speed = 11080  (8.0x)
book type:     DVD-R sequential recording (emulated booktype)
Product Id:    TYG02
Producer:      Taiyo Yuden Company Limited
first: 1 last 2
track:   1 lba:         0 (        0) 00:02:00 adr: 1 control: 4 mode: 1
track:   2 lba:   1067104 (  4268416)237:10:04 adr: 1 control: 4 mode: 1
track:lout lba:   2228480 (  8913920)495:15:05 adr: 1 control:4 mode: -1
Media summary: 2 sessions, 2 tracks, closed DVD-R sequential recording


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