The end scene was added by executive mandate because they were worried it wasn't 'dark 'n ~~gritty~~ enough.' The things tossed in at that scene are basically totally dropped from that point on, except for the fallout from Raylan's behaviour.

I couldn't say whether the pairing would improve or not for you if you ever continued - I didn't have much emotional reaction to the scene the first time I watched it, mostly because I was trying to figure out what the heck was going on and whose house it was. The way their interactions continue throughout the show is carried pretty much every time by Winona seeking out Raylan (and extensively chewing Raylan out) and she's the one who initiates everything from that point on but disregarding all that I suspect overall you would find the strong focus on Raylan's emotional dysfunction in the show tedious at best, though you'd enjoy some of his relationships with female characters. After the first episode he is....taken less seriously, almost? It's still a serious show but positive characters also point out and kinda or openly mock his drama pretty regularly (and his privilege a couple times.) For what it's worth, I feel like he behaves very differently after that scene and the text treats her super respectfully from that point on, which is really nice since that kind of role (the cop's wife who couldn't take his job) can get really short shrift.

I just love Winona Hawkins sfm, basically.