Issue having 4-20 mA interface with ADS1115
It looks like it will function. Whether it's "reliable" or not depends on the environment. It's not up to "professional" process control standards.  

You should consider an anti-aliasing filter- Nyquist is approximately 125kHz for the ADS1115 (half the modulator frequency). 

Some 4-20mA devices can output much more than 20mA in the case of exception situations such as sensor break or overrange. Above 25mA you will exceed Vcc of the ADC. At some point, damage might occur.