There isn't much of a work hours concept at Target, at least as much as I know, specifically in tech. There are 3 slots for the cabs, so a lot of folks follow that. 40 hours is expected from a team member, on paper. Sometimes it can be less than that, sometimes, it can be more as well. 10:30 am - 4:00 pm can be considered as the core hours.
About not having stores in India - It can be a problem only when someone is proactively trying to do something, or build something new. Work usually happens in siloes, for a team member - their scope would usually be defined by the folks above them. But even then, the counterparts in US are always available to support whenever required. Even if you're working at Google or something, you would have exposures to only the Indian mindset - even then, one will not be able to relate to the entire diverse mindset. So there are practises in place to address these challenges.
But yes, vast majority of the team members may not have a clear understanding on how their work fits into the bigger picture, but so is the case with all other similar companies/global products as well.
There's a very mini version of a store called as Guest Experience Center as well, which is a store like environment where teams can come and try out different things - both tech and non tech.
A lot of proactive work gets driven at a leadership level, and they would have usual been with Target for a long time. They travel to US atleast once a year as well. So that kind of makes things a little less challenging as well.