That’s the suggestion of Eric Black. I don’t buy it. Though it is true that there’s nothing to study in order to fill out a form for the notice of appeal, Eric is missing the bigger picture: waiting until the 10th day to file the notice of appeal means that the Coleman team has nine more days to work on their substantive brief to come later (see here, noting that 15 days to file record begins running at the time of filing of notice of appeal). The time to file that brief won’t start ticking until the notice of appeal is filed. So this is just smart appellate strategy (something I still remember a bit about).
And here‘s a Wall Street Journal editorial supporting Coleman’s equal protection argument.