Isaac,
Welcome to the forum. You'll find most of us have a bit of joviality in our replies.
"Front or back? Does it matter?"
My response is an unequivocal "yes".
Now you will ask why.
It's not a matter of "chicken or egg, which came first?" It's a question of the best method of progression in an art.
We're not creating an art de novo, so we already have chickens and eggs, though we'll never know which came first in this art either. In the long run, just as in the original question, it really does not matter.
We're working on a traditional martial art that has been around for quite some time so there have been nany teachers, Masters and Grand Masters that have gone before us and they have done quite a bit of experimenting with what the best method is for teaching the art. Those methods are what we call "tradition" now. We follow them because they work.
I have trained at a few schools of martial art in my day, all of the have had "traditional methods". A progression of teaching that has been passed down to them through generations.
These methods are tried and true. They have been proven over and over again to take a student down a path that has been shown to help them reach their goal.
Not all of these schools have been "internal" martial art schools. I have studied several hard styles of martial art and those schools all had their traditional methods of teaching as well.
Funny how no one ever questions those methods...
Now, I'm not a proponent of "we've always done it this way, so it's the only way we can do it". Not at all.
I'm all for trying out new ways of doing things, and that's exactly what I have done.
However, every time I have left the "traditional" path of training in any martial arts system, I have expended a lot of energy and gotten very little, if any, result.
Details are boring and not too important to the discussion. Let's just say I've grown a wild hair from time to time and had to scratch it. Doing so is usually quite fun, for a time.
Then you find that you're not really progressing at all, really all you're doing is flailing around in a vacuum of ignorance because you have no path to follow to move forward.
Any skills I learned while walking these paths have been superficial, at best.
When I come to my senses and get back onto the "traditional" path, then I begin to move forward.
Slowly.
One day of practice gives me one day of improved skill.
That's all I can ever hope for. All anyone can ever hope for.
There are no short cuts.
Jumping ahead to learn push hands may give you some skill at the techniques of push hands. I have no problem with that but I do not see it as desirable in and of itself.
What that will not give you however is the understanding of your own body that is required to really learn how to perform Tai Chi Chuan.
Tai Chi Chuan is not an art comprised of simple to learn local "techniques", it is an art comprised of using your entire body all at the same time in a coordinated fashion.
If only I could get my students to understand this!!!
Everyone wants to learn "techniques", sadly I have no techniques to teach them. I teach Tai Chi Chuan.
Tai Chi Chuan comes from your core, from your center. Not from your limbs.
When you understand that you cannot move only your arm to do something, that moving your core moves your arm and puts your entire body behind the movement which lends it all the power of your entire body, then you begin to understand Tai Chi Chuan.
This can only be learned through diligent and correct practice of any of the long forms of Tai Chi Chuan. The movements are rooted in your feet, released by your legs, directed by your waist and expressed in your fingers.
This is not a flippant phrase, this is a detailed explanation of the method.
It takes time and effort to understand how this works.
You have to put in the time and invest in the sweat equity of Tai Chi Chuan in order to learn it.
There are no shortcuts. Oh, I said that.
Time to go. I have to get to Michigan to learn more about the method from Yang Jun.
Bob