I've read through a number of threads here over time talking about this same issue. When cold, power loss when accelerating above 2,000/2,500 RPM. Seems to go away when warmed up.
My rig has 167,000 miles on it. Plugs, rotor, cap, wires, timing belt/H2O pump, upper oxygen sensor done about 30,000 miles ago. Compression test done a couple years ago, still decent. However, it's been hesitating for years (since at least 2011), but seems worse when it's cold outside (today was in the 30s, and I really noticed it), and seems to be pretty bad now.
I recently fixed my CEL regarding my EGR valve (blocked passageways), so I don't think it's that. I did run a CEL for about 4,000 miles. Could that have fouled the plugs or O2 sensor?
I seem to have taken a bit of a hit in mileage, too. Even with bumper, winch, roof rack, 235 mud terrains, I used to get 22/23 MPG. Now it's more like 19 or 20.
Any other suggestions? Test ECT?