Your ammonia is extremely high. I don't really understand why you haven't seen deaths yet, but if you leave it that high you will. If you happen to have some unusually tough fish that manage to pull through anyway, permanent damage is being done to their gills. If water changes meant that the cycle was going to last an extra two weeks they'd be worth it.
But they don't. Water changes will not increase cycling time.
The bacteria are not free-floating. They are living on things like the filter media, the glass, the substrate. Removing water doesn't remove bacteria in meaningful numbers.
If there is any detectable ammonia, then there is more than the bacteria are able to handle. If there is more than they can handle then they'll continue to expand their population. Picture a party where someone has put out very good food. The people near the buffet can eat 10 items a minute, but the cook is putting out 40 items a minute. More people notice and come over to the table, but still they can only handle 15 items per minute. The table fills up and becomes messy and crowded, plates piled dangerously high. Servers begin to remove some of the extra food, deciding to limit the total number of portions at the table -- never more than 50. The cook keeps putting out 40; the crowd eats 20, then 25, then 30 items per minute. After a while the servers can slow down the rate at which they remove the excess, but there is always plenty of food for the crowd that is growing around the table. When the crowd is able to handle the food at the same rate at which it is generated, the cycle is established and the servers need only remove the dirty dishes as they begin to accumulate (that is, do their regular water changes).
Do you know your KH and pH? Levels that high that aren't producing fatalities may mean very low pH water. The cycling process will acidify the water over time, so pH and KH can change over time. As the acids build up they'll make the ammonia less toxic, but will also suppress the bacteria and extend cycle time. A pH crash can extend your cycle indefinitely. Water changes can help avoid this.
High ammonia levels can suppress the development of the nitrite-eaters, slowing down the cycle. Water changes can help avoid this.
Leaving the levels that high is dangerous for the fish.
Lowering them is not bad for the bacteria. It might even be good for them.