It is not just the problem of disposing the waste.
Any neutron shield will be destroyed in a relatively short time, so it will have to be replaced and processed for the separation of the radioactive waste.
This is certain to greatly increase the cost of operation for a fusion reactor.
Also the fusion energy carried by the neutrons will be recovered only partially, because it will be transformed in heat in the shield and taken away by a coolant and then the heat will be used in electric generators, like the heat produced by fission or by fossil fuel burning.
Because the products of an aneutronic fusion reaction are high-speed charged particles, it is theoretically possible to make a direct electric generator, without using heat as an intermediate, which could have a much higher efficiency.
Making a small fusion reactor that produces neutrons would be always impossible if living beings are close, due to the need for a neutron shield. So you will never have e.g. a car with such a fusion reactor. There are no known size limits for a fusion reactor with hydrogen-boron, so it might be possible to make reactors small enough to power a house or a vehicle.
So if it would be possible to control a fusion reaction like hydrogen-boron, it would be possible to make fusion reactors that could produce much cheaper energy than it is possible with the easier fusion reactions, for which it remains to be proven if they could become economically viable, even long after the technical problems needed to enable the production of more energy than consumed will be solved.
However, many real breaktroughs would be needed to discover how to do aneutronic fusion reactions, at the scale needed for energy production.
The easier fusion reactions, like deuterium-tritium or deuterium-deuterium, have so many intrinsic disadvantages and so little advantages over fission reactors that it does not seem likely that they could ever become the main method for energy production.