Is measured current dissipated or undissipated current? In other words, is measured power "true power" or "imaginary power" (at least in AC circuits)?

For example, a 60 watt incandescent lightbulb has more resistance than a 10

0 watt incandescent bulb. More current flows through a 100 watt bulb than t hrough a 60 watt bulb. That is why the 100 watt bulb has a higher power rat ing.So, since a 100 watt lightbulb has less resistance than a 60 watt bulb, is measured current the current dissipated by the resistance or is it the undi ssipated current?

Here's another (related) paradox: Resistance dissipates power. The higher t he resistance the greater the dissipated power. But what is the power dissi pated by an infinite resistance? The (measurable) current flowing through a n infinite resistance is zero amps.

So, it is said that an infinite resistance acts like an open switch. But if an increase of resistance results in an increase of dissipated power then an infinite resistance should dissipate 100% of the power flowing through i t.

But that is NOT what is taught. It is taught that as resistance increases, more power is dissipated. Yet, for some reason, at infinite resistance...no power is dissipated at all (or so it is taught).