If a resistance wire of an electric furnace is cut off and connected to the circuit again, will the power consumed by the electric furnace be reduced?

If a resistance wire of an electric furnace is cut off and connected to the circuit again, will the power consumed by the electric furnace be reduced?

I think it's increasing ~ p = u square / R. after subtracting a section of resistance wire, the resistance becomes smaller. In this way, the power increases~

We know that when two bulbs with the same rated voltage and different rated power are connected in parallel to the home circuit, the bulbs with higher rated power will be on. What if they are connected in series

According to the formula P = u ^ 2 / R
It can be deduced that r = u ^ 2 / P, so the higher the power, the smaller the resistance
Because the current in series circuit is equal everywhere, and the power on each resistor is p = I ^ 2 R
Therefore, if two bulbs with different power are connected in series to a power supply, the one with lower power will be brighter than the one with higher power