Well, the home unit is not being accurate with you. Let's give the unit the benefit of doubt, and assume it's through not being 100% familiar either with the CT process or what would set one up for success in the pilot MOSID.
1. The CT application is actually sent to the D Mil C 7 section in NDHQ, the unit only helps you fill out the forms. The process will likely be longer than an "off-the-street" application.
2. The idea of "invested" is not the same in the reserves as it is in the regular force. You could leave the regiment any time you wanted, the unit cannot "keep you to themselves." If you were on an engagement contract and trained in a specific trade or occupation, the regular force CF would consider the resources spent to train you, but even then, there are cases where occupational transfer is permitted, even in expensive-to-train occupations like PLT, to another occupation, perhaps such as medical officer, dental officer, lawyer, public affaires officer, etc...
3. Stick with the triangle of academics-sports-leadership and start working on French, and you will be as well set-up for consideration into the PLT program as you can be.
For what it's worth, I know a person quite close to me who was a hooked (trained) private infantryman in a militia regiment who CT'd to ROTP PLT. The advantage of his CT, was that he retained vested pay rights to his PTE(T) pay rate and makes about twice what his fellow ROTP OCdts make. You decide if that's something you want to consider next time you're talking to someone at the unit about a CT.
Regards
G2G