Tiered memory systems typically place pages based on access frequency (hotness), yet frequency alone fails to capture the true performance impact. We present PACT, an online, page-granular tiered memory design that elevates performance criticality to a first-class design principle. At its core is Per-page Access Criticality (PAC), a fine-grained metric that quantifies each page's contribution to application performance rather than merely counting accesses. PACT profiles PAC online using a lightweight analytical model that uniquely decomposes per-tier memory-level parallelism via hardware queue occupancy counters, enabling direct CPU stall attribution to individual pages. To handle highly skewed PAC distributions, PACT employs PAC-centric migration policies: eager demotion and adaptive promotion, to dynamically place performance-critical pages in DRAM. Across 13 workloads, PACT achieves up to 61% performance improvement over the best of 7 state-of-the-art tiering designs with up to 50× fewer migrations.