Sometimes it's important to get your foot in the door?
Like take a less desirable trade and do your 5, then remuster? Trust me, I'm kicking myself for not taking that supply tech offer when I applied 10 years ago.
That's how my husband got his "Dream trade" He started as a supply tech, remustered to AVS, then remustered to AESOP. Got tired of supplying the parts, so he chose to fix them, got tired of fixing them so he chose to break em. He's happier than a pig in shit. So, you want to be infantry. They have 3 choices for a reason. You can put Infantry, Artillery, and Combat Engineer (sapper...build things, make things go boom...)
There is the point of getting your remuster approved once you get there though. Chain of command, BPSO...all that is involved..it's nice to get a trade you love off the bat, sometimes, getting the foot in the door is just the thing you need. How bad do you want in?