Yeah, lying on an app is shortsighted and never necessary - sorry if we misunderstood what you meant, and glad we're coming at this from the same place!
For a reapplicant, yes, the schools do look at the previous application - or at least, the reviewers
have access to it. Some reviewers don't actively look at it right away, they may go through everything fresh and then choose whether or not to pull up some or all of the prior application. For Harvard, they may not even look at the previous app until after an interview invite has gone out - but they will definitely review everything before the interview. You should create a reapplicant pitch with complete awareness of what you presented previously, but it should still be standalone - in other words, try to present new stories in your essays; write everything in a way that they don't have to review your past app, and write it as a continuation of what you gave before. If your goals have changed, explain how and why. Make the new app self-contained; don't say "My goals are the same as last time" which would leave the reader clueless as to the goal, but instead say "My goal of XYZ is the same as I wrote about last year" and then give more detail and expand upon your thinking. If your goals change, then it also needs to be handled carefully.
Tuck and Haas are equally reapplicant-friendly, neither is more welcoming than the other, they both like to see someone try again and they both have very high admit rates from the reapplicant pool (we don't have hard numbers on that but would be willing to bet that the percentages are quite comparable).
It's challenging to do a good job on the reapplication but in some ways it's easier - you have experience with the essays, you (hopefully!) know more about the schools, and in many cases people become very very determined to make it in, so they're willing to go all out. We have a lot of success stories on the blahg from reapplicants who got it done. Here's a favorite:
https://essaysnark.com/2013/01/success-story-with-industrial-sized-bottles-of-vodka/ You're targeting two of our favorite schools, you can't go wrong with either one. Keep us posted and let us know if we can help!
EssaySnark