HC-SR04 desoldered not producing readings, or producing wild erratic readings at distances greater than 5cm

Range when on leads:
I suspect the lead wires being as long as you show adversely effects the readings.

Functional Goal:

You cannot measure flow or directing or anything with an ultrasonic sensor designed for air in a liquid application.

To do what you need you would have to bond the sensors directly to the pipe AND the frequency will have to be much much higher. So basically a sensor designed to use in a liquid.