Getting better at Tactics Trainer = getting better?

Been working on daily Tactics Trainer for months and see steady improvement of about 200 points. I am at 1396, my highest rating yet. As I get better, I wonder how much becoming familiar with the puzzles counts in the rating. After 1,000 puzzles, does solving more and more really advance your OTB tactics all that much?

Yes it does. Well done on your improvements. I should start back solving tactics soon.

I ask because increasingly I make moves without actually seeing the checkmate. I am getting better at it. However if a second move is required, I may have to think a long while to figure out what it is. So I wonder if I am mostly becoming a good guesser, not a good player.

 If you are able to make good moves  without calculation your intuition is growing.

Ideally you should see all the moves in your mind before playing the first move. There will typically be more than one reasonable response to each of your moves, and you should have analysed them all before you make your move - just like you would in a real game.

Is there a way to do unrated TT but make it act like it is rated instead make you start with all the easy problems again.