Behold Shippers! As some commented here questioning the leeyou relationship (my observations are they are still friendly) and some suspect leeyou has broken up mid of SD filming (thank you for your thoughts that they have been together. 
i am not even sure as they are very private). I have tabulate that they are still friendly. All is good.
For record only:
SD is filmed between Oct 2020 to Jul 2021. Note HI and JS only started filming together from Feb 2021 onwards due to covid and schedule issues. So we know that HI is not extremely busy before Feb.
D.P is filmed from Mar 2021 to unknown but post production ends Jul 2021.
Note OSN ended the drama screening Jul 2019. DVD commentary meet up held on 15 Nov 2019.
5 Oct 2020
HI like JM red & black heart, wishing everyone have a strong week
https://www.instagram.com/p/CPmjvbirFz8/?utm_medium=copy_link
14 Oct 2020
HI like JM DONGINBI CF regarding foundation
https://www.instagram.com/p/CGTp1jpnTME/?utm_medium=copy_link
15 Oct 2020
Next day HI likes JM DONGINBI CF regarding lip balm with a 
https://www.instagram.com/p/CGWTdlDH1CD/?utm_medium=copy_link
17 Oct 2020
HI likes JM old 2019 Album of the day for Goldendew CF
https://www.instagram.com/p/CGWTdlDH1CD/?utm_medium=copy_link
22 Oct 2020
HI likes JM photos visiting Goldendew Heritage collections
https://www.instagram.com/p/CGoV71Zno2n/?utm_medium=copy_link
6 Nov 2020
HI likes JM thank you photo of all her Bday gifts
https://www.instagram.com/p/CHNdiJvnKe2/?utm_medium=copy_link
11 Nov 2020
HI likes JM's Josee trailer and shots
https://www.instagram.com/p/CHbu-dvHTEP/?utm_medium=copy_link
https://www.instagram.com/p/CHb74NKnnf1/?utm_medium=copy_link
13 Nov 2020
HI likes JM's Josee poster
https://www.instagram.com/p/CHg5E5NnP-L/?utm_medium=copy_link
HI likes JM's love your W shot
https://www.instagram.com/p/CHpXXYKnsBl/?utm_medium=copy_link
21 Nov 2020
HI likes JM BHIND FILM, it is bts filming of JM new profile shot for BH
https://www.instagram.com/tv/CH1y3zfnNDx/?utm_medium=copy_link
23 Nov 2020
HI likes JM WKorea about Josee and winter
https://www.instagram.com/p/CH6xdOiH4y3/?utm_medium=copy_link
26 Nov 2020
HI like JM love your W shot
https://www.instagram.com/p/CICeFDSnWc8/?utm_medium=copy_link
27 Nov 2020
HI likes JM Autumn night stroll
https://www.instagram.com/p/CIFRHTvn1fj/?utm_medium=copy_link
30 Nov 2020
HI stay at home and likes JM fortune telling.
https://www.instagram.com/p/CINzZt1nOv_/?utm_medium=copy_link
4 Dec 2020
HI likes JM thank you from her CF companies sending gifts to support her promotion of Josee.
https://www.instagram.com/p/CIXq9B3nn5A/?utm_medium=copy_link
8 Dec 2020
HI like JM Josee screenshots
https://www.instagram.com/p/CIhZWLXHvI8/?utm_medium=copy_link
10 Dec 2020
HI supports JM Josee screening day
https://www.instagram.com/p/CImYNm9H02c/?utm_medium=copy_link
13 Dec 2020
HI likes JM appearing at cinema watching her own film
https://www.instagram.com/p/CIuzo72noRp/?utm_medium=copy_link
14 Dec 2020
HI likes JM Goldendew Holiday collections
https://www.instagram.com/p/CIw-rL0H3Fv/?utm_medium=copy_link
24 Dec 2020
HI likes JM chill look Merry Xmas greetings
https://www.instagram.com/p/CJLRhrtLV1f/?utm_medium=copy_link
26 Nov 2020
HI like JM cute look promoting people to watch her in Yoo Hee Yeol's sketchbook.
https://www.instagram.com/p/CJOM6c-gHiK/?utm_medium=copy_link
16 Jan 2020
HI likes JM 18th Anniversary since debut
https://www.instagram.com/p/CKGQrdDL77P/?utm_medium=copy_link
19 & 22 Jan 2020
HI likes JM Allure shots
https://www.instagram.com/p/CKNauARrzVx/?utm_medium=copy_link
https://www.instagram.com/p/CKVYLW2LTqK/?utm_medium=copy_link
27 Feb 2021
HI likes JM cycling photos along Hans River.
https://www.instagram.com/p/CLyfe8yrFhU/?utm_medium=copy_link
12 Mar 2021
HI likes JM Goldendew CF (about ring)
https://www.instagram.com/p/CMTaDzhA3Wt/?utm_medium=copy_link
16 Mar 2021
JM likes HI coffeetruck thank you from Kim Hye Soo (JM very close senior and HI amd KHS did not follow each other)
https://www.instagram.com/p/CMeesP5pSxM/?utm_medium=copy_link
24 Apr 2021
HI likes JM Goldendew BTS pics
https://www.instagram.com/p/COCMtHMLPeF/?utm_medium=copy_link
4 May 2021
HI like JM Goldendew BHFILM
https://www.instagram.com/p/COckd3ag7bI/?utm_medium=copy_link
2 Jun 2021
HI likes JM healing between filming Happy New Year Film
https://www.instagram.com/p/CPmjvbirFz8/?utm_medium=copy_link
24 Jul 2021
HI likes JM chill beer session
https://www.instagram.com/p/CRtKMMnLPWH/?utm_medium=copy_link
Kindly note that many JM IG are posted in story. The above complilations are mostly HI likes JM IG and have not recorded JM likes HI IG. Also i stop at SD filming end time cos i spent too much time and i think i answered people's doubt. Also i have not included leeyou onscreen sister into here. She is the best link between the two. Previously we posted leeyou appearing in JMY live IG during year end of 2020 and the constant likes from HI when there are post of JMY with JM in JMY's IG.
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