No, it's not the same.
Heater wavelengths are much higher an is pure heat radiation, between 1500-2000nm probably. Below 1000nm it's still called light.
Plant use far- and infra-red to adjust transpiration and with LED's there in only very little far-red and no IR.
With sun or HPS light the transpiration (VPD) is almost self adjusting but without FR/IR you need to adjust transpiration manually by maintaining sufficient humidity siutable for the current plant stage.
Lets say you have 1000μMol/s sun light. The visible spectrum is 400-700nm but there is also a lot light in the range 700-1000nm and this part regulates transpiration by increasing the leaf temps. With white or blurple LED's there is only very little output between 700 and 750nm but nothing above that. Leaf temps are the same or less than ambient.
So even with 1000μMol/s the plants don't get enough heat to regulate transpiration themself.
For this reasons we need to keep an eye on the VPD to keep the plants healthy which was simply not neccessary with HPS or other light sources with heat output similar to sun light. HPS, MH, HID, CMH, incandescent bulbs and even T5/T8 they all produce at least 15-30% heat and with all of them there is almost no need to increase humitity above 55%.(apart of the seedling stage). They all heat up the leaves by 2-3°C above ambient temps and you need only 25-26°C ambient temps to have the leaf temps in the optimal range and a lower ambient temp means you need also less humidity to keep the VPD in a healthy range.