You're actually quite on the dot there.
”I asked about the history in regard to the game being a reboot of the series, and asked if there were any changes to the original story in the previous titles, and Leo couldn’t say much, but he did say “In the original story Dante was born with white hair, but here he’s not. So, a few changes have been made, but I’d just like to say as I think it’s important that we aren’t ruling out the possibility of a Devil May Cry 5 to continue the story. We just want to see where the reboot goes first, before making any further decisions”.
http://doesnotcompute.org/devil-may-cry-dmc/
They just wanna see how this one goes. Then make a Devil May Cry 5 if they still got the budget for it. The Devil May Cry numbered series like Street Fighter the numbered series.