As a few others have asked the big factor in this is can a WF player earn these "War" points for the boxes?
And as to proportionate increases, (I'm guessing here) a 300% increase in the box values since that's the approximate increase in the WP's from raiding (30 (ish being the highest I've seen) -> 120).
So lets take the level 3 box, which is currently 650 points, under the new system that's 2.6k points, at a max of 24 (1/5th of the 120 figure mentioned) that means you'd need to run:
2,600 / 24 = 109 fully scavenged missions.
at 5 minutes per mission (average) that's 545 minutes, or just over 9 hours.
Let's make it slightly more realistic and use an average of 15 points per mission to account for running out of highest point missions.
2,600 / 15 = 174 fully scavenged missions
at 5 minutes per mission (average) that's 870 minutes, or 14.50 hours.
Over a 6 day war round that equates to 2.5 hours a day or constant missions. Which let's be honest is more than doable, and we all know there are plenty of players that will get that within 3 days.
Now lets compare that to raids
Using an average of 80 points per raid that:s
2,600 / 80 = 33 successful raids.
So, assuming someone uses 3 raiding teams, that's 22 hours of return times. For non alt players, the average points value will be lower, and they are more likely to only be able to win using 5 man teams, plus they are highly unlikely to operate at 100% attacking efficiency, so factoring those in:
Average of 60 points per sucessful raid, at a success rate of 75%.
2.600 / 60 = 44 Sucessful raids, meaning (44/.75) = 59 raids total.
That gives us 108 hours of return times, or over a 6 day war round 18 hours per day. Obviously that's the return times, not the play time needed, but 90% of serious PVP alliances are not happy with people that leave their base empty since it offers out free points to their competition.
In terms of the play time for 59 total raids you are looking at (average 6 mins per raid) 59 * 6 = 354 minutes or just under 6 hours of actual play time.
I appreciate that this is "speculation" however, it's based on the information you've given us Con. If you don't want us to speculate, give us some damm details of things.