Would you like me to go first?
Think about the Bundestag. Here we have two MPs who are elected through different methods. One is in the single-member district and one is the person who is elected in the party list. There isn't a lot of ambiguity in the sense that there is still that link between the individual member and the local constituency, the local voters, the local party, and all those other things that are important in any parliamentary representation.
You can have a mixed member system, which has to some extent the best of those two different worlds, but it does mean that members of Parliament would be slightly different in their roles and responsibilities and in how much they do for constituency service, which is an incredibly valuable service that takes up a lot of time and is appreciated in any parliamentary system, versus those who are focused more on committee work or issues or other types of concerns for Parliament. You just divide the roles a bit more than you might do under the current system.