Sorry I'm not too familiar with some of these acronyms. (TAR, FTS, I'm assuming SELRES is select reserves?). Right now I am a co-pilot, and about 300 hours short of becoming an AC. So I'm guessing it would be a good thing for some units. I know in the AF reserves the hire people right off the street, not sure if the Navy does this, but to them I would be a free pilot. The unit does not have to take a gamble on me whether or not I'm going to make it through UPT or get Med DQ'd.
TAR is the Title 10, U.S. Code name for what the Navy calls "FTS." Other services call it something different. It's full-time active duty (retire at 20) that supports the Reserve side of the Navy. You are correct on SELRES.
The Navy doesn't work as you describe for the AF. For SELRES, it's not just a "free pilot," as there are a fixed number of billets the unit will have and depending on how popular the unit is with the number of applicants, the unit can choose to be picky. There are other units that have a very low application rate (or maybe a better way to put it is low selection rate) because of limitations of the unit. VR-51 in K-Bay is a perfect example. They have lots of open slots because they want their pilots to be local.
For FTS/TAR, you first have to be selected by the Navy, which can vary between competitive to not so much, depending on that board. When you go to the board, you get picked up for community (in your case, that would be VR) which then also gets you selected for FTS. Again, there's a fixed number of billets each unit has, as well as an overall FTS end-strength for the Navy. I'm not smart enough to know if you could apply from outside the Navy, though. Maybe Jim123 or one of the other FTS bubbas knows.