@Wolli01 Both SX1272 and SX1276 oprate at a range of 1.8 to 3.7 V, the esp32 at a range of 2.6 to 2.6 V. So 3.33V should not be a problem. The voltage should however be taken at the 3.3 V output of the LoPy, to be sure, that the supply arrives. But there may be short supply drops during send bursts. If you have an oscilloscope available, try to trigger for voltage drop sat the 3.3V output.
The current demand for WiFI is higher than that for Lora, 250mA worst case for the ESP32 vs. 120mA worst case for the SX127x, but I doubt that these high power output modes for Lora are supported.
So yes, worst case can be in the range of 500mA. Given your power consumption, battery impedance, especially at low voltage, may more be an issue than total capacity.