Removing party ballots would be symbolically significant. With party names on the ballot, it's easy for a party to argue that we voted for the party and not the candidate, and that therefore the candidate ought to tow the party line.
In fact we see it all the time when the NDP cries foul over the Conservatives winning a majority of the vote on only 40% of the national vote. Well, if we'd voted party, the NDP would indeed have a point.
And when the Conservatives say we'd elected a majority Conservative government, again based on the assumption we'd voted party and not candidate, again they do have a point. As long as party names appear on ballots, it makes it that much easier for parties to make such claims on the grounds that it does give the impression on the ballot that we'd elected party.
Remove party names from the ballot, and while parties could still make such a claim, it's weakened at least somewhat. Then when the NDP argues that the Conservatives won a majority on a minority of votes, we can more easily counter that there is no such proof of that and that we may very well have voted in a bunch of candidates independently of their party affiliation. This could potentially embolden some MPs to stand up to their parties on similar grounds.
So symbolically, it is important.