Well, you have the two techniques out there, but only ONE of them will be used in the T34. You can maintain centerline with a crab input, and take it out at the last minute, this is NOT trained in Primary, so throw that out the window.
Your IP has been teaching you to keep that wing down into the wind, and using top rudder, hence "wing down, top rudder!", don't know how many times that has been yelled at me. And dang it, it works, still use it in the P3 in some pretty crazy crosswinds out here, and maintain that centerline. Pay attention to those winds, ask for a wind check if in doubt, or can't make out the wind sock. I know that inputs feel uncomfortable, at least they did to me the first couple times I did them, but now, they are just second nature. What you are learning now is up prime importance, striving for and maintaining that centerline. I can't speak for jets, but throughout Prop training, you are not allowed to get away with being off centerline due to the safety hazards it causes, plus just plain sloppy airwork.
When I flew my solo, I tended to fly a tad bit deeper on my pattern, just to ensure that I wasn't wrapping it up tightly at the last minute. So if I misjudged my winds (overshooting or undershooting), I would have adequate spacing to adjust back to centerline on final. Even entering patterns now for bounce work in the P3, especially when flying a left hand pattern from the right seat, where I CAN'T see the runway till past the 90, I opt for a little bit deeper and wider pattern. You note the AOB and power settings that worked for you, and improve on the next pass.
I don't know if you are in Corpus or Pcola, I found Corpus MUCH more challenging with the winds when I went through Advanced Props down there, and it was a blast to fight them, and get the self confidence. Just work on what your IPs have been teaching you, get that wing down to offset the crosswind drift trying to push you off centerline, and use that top rudder to get your nose pointed down the runway, and ride it on in.
Of PRIME importance in any pattern work is staying on the numbers, hit your 180 at 1000' on speed, set the required power, do your landing checks, and get that descent rate and AOB in, and in turn hit your 90 at 660 (2/3rds pattern alt) and then final at the 200-300 feet window. If you are off on those windows, you are just making it more difficult on yourself to correct back, especially with rough winds.
Best of luck.