First, I've never used time machine.
I use only "cloned backups" in day-to-day usage and for migrations.
OK, having said that...
You must be aware that when you "start fresh", all your previous settings and preferences will be "left behind" as well, so you'll have to re-do all of them again.
You'll also have to re-install and re-register 3rd party applications.
And if you create a "brand new account" on the new Mac, you'll have to take specific steps to avoid permissions problems when bringing over the data from the old Mac.
This is because (even if you use the same username and password) the "new" account will be seen as "different" from the previous account -- and you'll have permissions issues with data from the old Mac.
Are you willing to do that?
If so, then you can do a "manual migration".
However, I'm wondering if a backup from time machine can "get in the way" of doing it.
Let me explain.
With a cloned backup (created by CarbonCopyCloner or SuperDuper), it's EASY to avoid permissions problems in a scenario like the one above.
That's because a cloned backup drive is no different than any other "ordinary" drive with data on it.
If I have a new account, and want to bring over data from an old account, I would do this:
a. connect cloned backup drive
b. let icon mount on desktop
c. click on icon ONE TIME to select it
d. bring up the "get info" box (command-i)
e. at bottom of get info, click lock and enter NEW password
f. put check into "ignore ownership on this volume" (sharing and permissions)
g. close get info
Now I can copy files (from my OLD account) to the NEW account on the new Mac, and anything I copy will automatically "come under the ownership" of my NEW account. No permissions problems.
Perhaps there's some way to do this with a tm backup, but I don't know how that would be.
It will be up to others to explain.
Again, something to be aware of when you do a manual migration.
(When you migrate using setup assistant when you first turn on a new Mac, I believe setup assistant takes care of these issues automatically)