Do heavier travel adapters give more USB power?

Treat every one as a plug adapter, not a voltage converter, unless its maker plainly says otherwise. Before you plug in a hair dryer, kettle or other appliance, read its voltage label and the adapter's instructions; this comparison doesn't decide whether an appliance is safe to use abroad.

No. EPICKA says the TA-204 offers up to 100W fast charging, a peak figure rather than a promise for every port at once, and EPICKA's other totals are shared across ports, so a single port can deliver less. The table keeps the maker's total instead of adding up port maximums. Above 65 W, look at the 259 g Pulse Duo 140W or TA-204 at that peak rating with no weight given.

Eagle Creek’s USB charger title gives 30W and USB-A plus USB-C in its features, yet its specs list 2x USB-A with a shared 12W. The Micro page doesn't specify USB charging. Neither gets invented ports or a zero-watt rating.

It's the most current the maker says the adapter's outlet can pass: 10 A on seven EPICKA models, 2.5 A on both Eagle Creek adapters. It isn't advice to run your appliance at that current, and plug type, grounding and the appliance's own rating still apply.