The first thing I suggest, is to use the double basket.
Doubles are generally much easier to get right, most likely because of the shape of the single basket. IMO, unless you are using a La Marzocco single basket, good luck.
The Tea is an E-61 HX, so it should be pretty damn close to how I did things on my Anita.
Get the stock double basket out, and pop it in the bottomless portafilter.
Use the WDT Method(while your starting out), outlined
Here. Cut a yogurt cup's bottom off, so you can fit it in your basket, like a funnel. Use something to stir up the coffee. A skinny chopstick, a straightened paper clip, or the classic dissecting needle.
Set the Vario to grind 16grams of coffee.
Grind the coffee into the basket, with the yogurt cup attached. Stir up the coffee grounds.
Tamp. NO TAPPING THE PF WITH THE TAMPER. This only serves to ruin your puck prep. Tamp once, straight down. No twisting, tapping or polishing.
Pull your shot.
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If the stock double basket is the same as the one which came with my Anita(which is probably is), I found it worked best between 16-18grams. Using the WDT is like an insurance policy against bad extractions. I used it for about 99% of the time I owned Anita, stopped for a little while, and now I use with my VII. I probably dont "Need" too, but it works so great everytime, I just do.
The reason I suggest using the double basket, is because it's just easier to get a good extraction. Once you are comfortable using the double, then go back and try the single.
To answer your question, no, a bottomless PF has no effect on when the shot blondes. In fact, In my experience, I find the spouted PF makes the shot looks like its blonding sooner(though it isnt).
Use your bottomless PF for a while, while using the WDT, to get comfortable with your extractions. Once you feel like you are consistent, shot to shot, you can use the bottomless only when your dialing in a shot, and then switch to the spouted PF's, to pull your shots. I personally prefer the texture of a shot from the spouts. Using the bottomless, there is much more crema, but it collapses really quick. I also feel like the bottomless shots are "bulkier" if that makes sense, and that, compared to the spouts, need to be swirled in the cup/stirred. But I digress...
Use the Double Basket. Use the WDT. Start about 16gr of coffee.
FWIW.. I RARELY shoot for a full 2oz in 25, even 30 seconds. With most coffees, i find the shots taste much better, with a total volume of about 1.5-1.75, in 27-30seconds or so. I personally have yet to pull a 25sec, 2oz shot, that I really enjoyed. Of course, YMMV.