When AOS gets denied, you lose your eligibility for post six year extensions of H status. If you have been buring up your H time while waiting for an AOS adjudication, you will not recover that time. Absent the special circumstances described in AC21, you are only entitled to six years of H eligibilty.
so "If you want to apply for another H1, you will have a huge problem because
since your H1 is terminated, you lose your H1 quota so you are subjected to H1 cap." is correct
so "If you want to apply for another H1, you will have a huge problem because
since your H1 is terminated, you lose your H1 quota so you are subjected to H1 cap." is correct