I think if you follow where the money goes, that will be whether UBI causes inflation or not. In the best case, it results in a virtuous cycle where growth is created and sustained. In the worst case, it further inflates the value of low supply goods. This will most likely be up to market conditions along with business models/strategies and productive capabilities of various industries and marketplaces and how they will weigh out.

In the example of housing however, I don't think UBI will help because the business model is dependent on inflating prices of homes as investment vehicles. The price must go up one way or another. What actually bring home prices down would be something like a market crash where investment expectations are muted.

Cheaper labor however comes from offshore countries that have a lower standard of living. If average wages go up, then domestic workers will expect that as a baseline. A business can pay above the average for above average workers, and vice versa. The expectation of hiring cheaper immigrant labor is getting the same level of expertise for cheaper. This does not always go to plan, which is why there is still some demand for domestic workers and their expertise. Automation may have a similar effect but without the same virtuous cycle to offshore countries as before. (Not to mention that the difference between revenue and cheaper labor cost is incentivized to be kept as business profits, which doesn't mean that prices go down since demand and supply now expects higher prices as the market baseline.)