Hi there,
When I worked with exosomes we used a combination of filtration and ultracentrifugation to isolate them. Ultracentrifuges are usually not available for DIY bio labs.
Secondly, isolating exosomes from tissue is quite problematic. We used a clean cell culture with specially prepared medium, and purified exosomes from there. Even then there was always a level of contamination in the sample from particles that are not exosomes but are similar in size and have similar characteristics (apoptotic bodies, cell fragments, protein aggregates, extracellular matrix pieces). If you start with a tissue the amount of such contaminants will be high, and I don't think you can get any reasonably pure exosome prep from them.
The protocol you describe also uses a cell culture not a tissue. I think growing cultures in a dish and isolating exosomes from the supernatant is doable but difficult, but doing it straight from tissue is not going to work well. That is my guess anyway.
Best Wishes,
Mate