First of all, in spite of maybe awkwardness with the USB cable, I would rotate the Sparkfun 180 degrees and all the way to the end, so that the antenna protrudes past the proto board. As is, the antenna is far too close to unconnected strips, and also actual digital circuitry.
Remember also that with the 433MHz type of receiver, the ground isn't RF passive, it's an active counterpoise because the antenna is a monopole. That also makes RX sensitive to noise on the ground. Only with an RF balun, can you decouple RF from the circuit. I suggest using a rigid antenna, like 22 or 24 AWG insulated wire, I loop and twist it at the end for eye protection...
The ground conduction problem is why almost all commercial versions of this use loop or FIFA (a folded type) antennas, because the RF ground is decoupled very well. Look on the ESP.
On my own protoboards, I have permanent extra jumpers joining all the power and ground connections in multiple places, making a solid grid (as much as possible on those boards). I'm sure it does help with noise.
I've mentioned before, for unknown reasons, I've not had much trouble with RX interference except from some LED displays. I'm sure the casual wiring had something to do with that as well. In conclusion, another nice thing about an antenna tuned for resonance, or as close as possible to it, also filters out of band noise a bit. But not a lot. I think turn the Sparkfun, cross connect the power and ground wires, change the antenna, and add some bypass capacitors on the power rails for good measure. Maybe you can move the receiver further away from the ESP.
Oh, and... I'm almost sure I've seen receivers that will run on 3.3V.