I do not know anything about those devices except what is written on the web site.
I assume that since you have choosen Pearstone Microphone Adapter for Sony Camcorder Hot Shoe, your camera is a Sony camera.
Not that it matters much, but you have choosen a microphone that has an output connector that you have to use an adapter on.
I would think it best to have as few pieces as possible to get the job done. Every time you add pieces to a system you are adding things that can go wrong.
And you have more pieces to carry around every time you go out on a shoot.
My camera is a Canon Vixia HF R100 (low price range). It has a 3.5 mm external stereo mic input jack. There is a ton of wireless microphones for camcorders that have that 3.5 mm plug on the receiver output.
So you only have the microphone, transmitter body pack and the receiver which you can clip to your belt.
Does not have to mount on the camera hot shoe. My camera does not have a hot shoe anyway.
It is the least amount of equipment to carry on a shoot. Fewer things to go wrong.
So I recommend that you find the least amount of equipment to go on a shoot to get the job done.
It is your choice as to what equipment you want to use. The main thing is a "good" Microphone/transmitter and receiver that works with your camera.
The idea of a separate audio recording is OK for movie studios, but it really complicates the editing process.
Have you ever tried to synchronize audio and video in Powerdirector? It is not impossible, but it is not a walk in the park.
Carl312: Windows 10 64-bit 8 GB RAM,AMD Phenom II X4 965 3.4 GHz,ATI Radeon HD 5770 1GB,240GB SSD,two 1TB HDs.